<html>
<head>
<meta charset="utf-8"/>
<title>Fractional Approach to Prime Number Detection - RJM Programming - August, 2021</title>

<style>
#tr1 { background-color: lightgreen; }
#tr2 { background-color: lightblue; }
#tr3 { background-color: yellow; }
#tr4 { background-color: pink; }
td { height: 20%; }
</style>
<script type='text/javascript'>
var aemailihs=['-', '📧', '📟'], aij=0;
var datauris=[];
var lastdm='';
var img=null;
var canvas=null;
var context=null;
var ioffset=0, ifactor=1;
var rldone='';
var first=0;
var altc='';
var supsubmoden=0;
var supsubmodes=['supsub', 'boring', 'sup', 'sub', 'ib', 'bi', 'emoji', 'roman', 'egyptian', 'hexadecimal'];
var curmode=supsubmodes[supsubmoden];
var acontou=null, acontol=null;
var lastprime=-1, prevnum=-1;
var lastfactorslist=[], prevfactorslist=[];

var usuffix='';
var datblock='';
var fsuff='', xfsuff='';
var mynum=60;
var mynumc = location.search.split('number=')[1] ? decodeURIComponent(location.search.split('number=')[1].split('&')[0]) : '';
if (mynumc.indexOf(',') != -1 || mynumc.indexOf(';') != -1) {
xfsuff=mynumc.replace(mynumc.split(',')[0].split(';')[0], '');
if (eval('' + xfsuff.length) > 1) { fsuff=xfsuff.substring(1); } else { xfsuff=''; }
mynum = Math.floor(Math.abs(eval(mynumc.split(',')[0].split(';')[0])));
} else {
mynum = location.search.split('number=')[1] ? Math.floor(Math.abs(eval(location.search.split('number=')[1].split('&')[0]))) : 60;
}
var divisors=[]; //, myum];
var diffs=[];
var xfit = location.search.split('forward=')[1] ? decodeURIComponent(location.search.split('forward=')[1].split('&')[0]) : '';
var xeit = location.search.split('ito=')[1] ? ('' + decodeURIComponent(location.search.split('ito=')[1].split('&')[0]) + xfsuff) : fsuff;
var myd = location.search.split('display=')[1] ? dmwork(decodeURIComponent(location.search.split('display=')[1].split('&')[0])) : '';

function ask() {
var nn=prompt('Which counting integer are you interested in?', '' + mynum);
if (nn == null) { nn=''; }
if (nn != '') {
if (nn.substring(0,1) >= '1' && nn.substring(0,1) <= '9') {
if (1 == 1) {
document.getElementById('mytable').innerHTML='';
mynum=eval('' + nn);
document.getElementById('inumber').value='' + mynum;
altc=document.URL.split('#')[0].split('?')[0] + '?number=' + nn.split('.')[0] + usuffix;
fcalc();
} else {
document.getElementById('inumber').value='' + nn.split('.')[0];
if (document.URL != document.URL.split('#')[0].split('?')[0] + '?number=' + nn.split('.')[0] + usuffix) {
location.href=document.URL.split('#')[0].split('?')[0] + '?number=' + nn.split('.')[0] + usuffix;
}
}
}
}
}

function gogethelp() {
window.open('//www.dummies.com/education/math/pre-algebra/10-alternative-numeral-and-number-systems/','_blank','top=20,left=20,width=500,height=500');
}

function egyptian(num) { // thanks to https://www.dummies.com/education/math/pre-algebra/10-alternative-numeral-and-number-systems/
var ems=['🥴','🍳','➰','🧘','🖕','🐸','🤷'];
var descs=['Stroke','Yoke','Coil of rope','Lotus','Finger','Frog','Man with raised hands'];
var retv='';
var cnum='' + num;
var thisc='';
var jnum=0, knum=0;
var iems=eval(-1 + ems.length);
var kiems=0;
while (cnum != '' && iems >= 0) {
if (iems == 0) {
thisc=cnum; //.slice(-1);
cnum='';
jnum=eval('' + thisc);
} else {
thisc=cnum.slice(-1);
cnum=cnum.substring(0, eval(-1 + cnum.length));
jnum=eval('' + thisc);
}
for (knum=0; knum<jnum; knum++) {
retv='<span ' + datblock + 'title="' + descs[kiems] + '" ' + datblock + 'onclick="gogethelp();">' + ems[kiems] + '</span>' + retv;
datblock='';
}
iems--;
kiems++;
}
return retv;
}

function romanize(num) { // thanks to https://stackoverflow.com/questions/9083037/convert-a-number-into-a-roman-numeral-in-javascript/9083076
if (isNaN(num))
return NaN;
var digits = String(+num).split(""),
key = ["","C","CC","CCC","CD","D","DC","DCC","DCCC","CM",
"","X","XX","XXX","XL","L","LX","LXX","LXXX","XC",
"","I","II","III","IV","V","VI","VII","VIII","IX"],
roman = "",
i = 3;
while (i--)
roman = (key[+digits.pop() + (i * 10)] || "") + roman;
return Array(+digits.join("") + 1).join("M") + roman;
}

function numer(inn) {
if (supsubmoden == 0 || supsubmoden == 2) {
return '<sup>' + inn + '</sup>';
} else if (supsubmoden == 4) {
return '<i>' + inn + '</i>';
} else if (supsubmoden == 5) {
return '<b>' + inn + '</b>';
} else if (supsubmoden == 6) {
var retv='<sup style="color:purple;background-color:yellow;">'; // 1 ⃣
for (var jj=0; jj<('' + inn).length; jj++) {
retv+='' + ('' + inn).substring(jj, eval(1 + jj)) + ';⃣';
}
return retv + '</sup>';
} else if (supsubmoden == 7) {
return '<sup>' + romanize('' + inn) + '</sup>';
} else if (supsubmoden == 8) {
datblock='data-';
return '<sup>' + egyptian('' + inn) + '</sup>';
} else if (supsubmoden == 9) {
return '<sup>' + eval('' + inn).toString(16) + '</sup>';
}
return '' + inn;
}

function denom(ind) {
if (supsubmoden == 0 || supsubmoden == 3) {
return '<sub>' + ind + '</sub>';
} else if (supsubmoden == 5) {
return '<i>' + ind + '</i>';
} else if (supsubmoden == 4) {
return '<b>' + ind + '</b>';
} else if (supsubmoden == 6) {
var retv='<sub style="color:purple;background-color:yellow;">'; // 1 ⃣
for (var jj=0; jj<('' + ind).length; jj++) {
retv+='' + ('' + ind).substring(jj, eval(1 + jj)) + ';⃣';
}
return retv + '</sub>';
} else if (supsubmoden == 7) {
return '<sub>' + romanize('' + ind) + '</sub>';
} else if (supsubmoden == 8) {
return '<sub>' + egyptian('' + ind) + '</sub>';
} else if (supsubmoden == 9) {
return '<sub>' + eval('' + ind).toString(16) + '</sub>';
}
return '' + ind;
}

function dmwork(huhm) {
huhm=huhm.toLowerCase();
if (huhm != lastdm) {
lastdm=huhm;
for (var ii=0; ii<supsubmodes.length; ii++) {
if (huhm == supsubmodes[ii]) { usuffix='&display=' + encodeURIComponent(huhm); supsubmoden=ii; curmode=supsubmodes[supsubmoden]; if (document.getElementById('sdisplay')) { document.getElementById('sdisplay').value=curmode.replace('supsub',''); if (document.getElementById(curmode) && 1 == 6) { document.getElementById(curmode).setAttribute('selected','selected'); } } altc=document.URL.split('#')[0].split('?')[0] + '?number=' + ('' + mynum).split('.')[0] + usuffix; if (document.getElementById('mytable')) { document.getElementById('mytable').innerHTML=''; } fcalc(); }
}
}
}

function displaymode() {
var huhm=prompt("Please choose one of following fraction display options ... supsub, boring, sup, sub, ib, bi, emoji, roman, egyptian, hexadecimal ... for, respectively, sup numerator and sub denominator, no sup nor sub nor i nor b, sup numerator only, sub denominator only, italic numerator and bold denominator, bold numerator and italic denominator, emoji, roman numerals, egyptian, hexadecimal", curmode);
if (huhm == null) { huhm=''; } else { huhm=huhm.toLowerCase(); }
if (1 == 1) {
dmwork(huhm);
} else {
for (var ii=0; ii<supsubmodes.length; ii++) {
if (huhm == supsubmodes[ii]) { supsubmoden=ii; curmode=supsubmodes[supsubmoden]; document.getElementById('mytable').innerHTML=''; fcalc(); }
}
}
}

function fcalc() {
var evens=[' and is even', ' and is odd'];
var sextras=' style="cursor:pointer;" onclick="displaymode();" title="Choose a fractional display mode from supsub, boring, sup, sub, ib, bi, emoji, roman, egyptian, hexadecimal"';
var assessment=' is a prime number' + evens[eval(mynum % 2)] + '.';
var innards='', facline='<tr id=tr2 style="background-color: lightblue;"></tr>', divline='<tr id=tr3 style="background-color: yellow;"></tr>', diffsline='<tr id=tr4 style="background-color: pink;"><td colspan=' + divisors.length + '><table style="width:100%;text-align:center;" border=1><tr><td id=td0></td></TR></table></td></tr>';
var lastii=-1;
var comaybe=true;
var huhti=1, rect=null, lastrect=null;
if (document.getElementById('inumber')) {
document.getElementById('inumber').value='' + mynum;
}
if (document.getElementById('myform')) {
//if (document.getElementById('myform').action != document.URL.split('?')[0].split('#')[0]) {
document.getElementById('myform').action=document.URL.split('?')[0].split('#')[0];
//}
}
if (!canvas) {
canvas = document.getElementById('canvas'),
context = canvas.getContext('2d');
}
divisors=[];
diffs=[];
usuffix='';
datblock='';
prevfactorslist=lastfactorslist;
lastfactorslist=[];
if (prevfactorslist.length == 0 || mynum == prevnum) { comaybe=false; }
for (var ii=mynum; ii>=1; ii--) {
if (('' + eval(mynum / ii)).indexOf('.') == -1) {
divisors.push(ii);
if (eval('' + divisors.length) > 2) { assessment=' is a composite number (ie. not prime)' + evens[eval(mynum % 2)] + '.'; }
facline=facline.replace('</tr>', '<td><span' + sextras + ' class="numerator">' + numer(1) + '</span>/<span class="denominator">' + denom(ii) + '</span></td></tr>');
sextras='';
if (ii != 1 && ii != mynum) { lastfactorslist.push(eval(mynum / ii)); if (prevfactorslist.indexOf(eval(mynum / ii)) != -1) { comaybe=false; } }
divline=divline.replace('</tr>', '<td id=dt' + divisors.length + '>' + eval(mynum / ii) + '</td></tr>');
if (('' + lastii).indexOf('-') != -1) {
lastii=eval(mynum / ii);
} else {
diffs.push(eval(eval(mynum / ii) - lastii));
diffsline=diffsline.replace('</TR>', '<td id=td' + diffs.length + '>' + eval(eval(mynum / ii) - lastii) + '</td></TR>');
lastii=eval(mynum / ii);
}
}
}
if (comaybe) {
assessment+=' The previous number ' + prevnum + ' and this number ' + mynum + ' are <a target=_blank href=https://www.math-only-math.com/various-types-of-numbers.html>co-prime numbers</a>. ';
}
//alert('0:' + altc);
//alert('1:' + assessment);
if (assessment.indexOf(' is a' + ' prime number') != -1 && document.URL.indexOf('&end=') == -1) {
document.getElementById('iupper').src='./fractional_prime.html?number=' + eval(2 + eval('' + mynum)) + '&end=y';
if (eval(-2 + eval('' + mynum)) >= 1) { document.getElementById('ilower').src='./fractional_prime.html?number=' + eval(-2 + eval('' + mynum)) + '&end=y'; }
//alert('2:' + assessment);
} else if (assessment.indexOf(' <a ') == -1) {
//alert('3:' + assessment);
if (altc != '') {
//alert('4:' + assessment);
if (top.location.href != altc) {
top.location.href=altc;
}
}
}
innards+='<tr id=tr1 style="background-color: lightgreen;"><td colspan=' + divisors.length + '><a onclick=ask(); style="cursor:pointer;text-decoration:underline;">' + mynum + '</a><span id=shuh>' + assessment + '</span></td></tr>' + facline + divline + diffsline.replace(' colspan=0', ' colspan=' + divisors.length).replace('</TR>','<td id=xxx></td></tr>');
document.getElementById('mytable').innerHTML=innards;
while (document.getElementById('dt' + huhti)) {
rect=document.getElementById('dt' + huhti).getBoundingClientRect();
if (huhti == 1) {
document.getElementById('td0').style.width='' + eval(eval('' + rect.width) / 2) + 'px';
document.getElementById('xxx').style.width='' + eval(eval('' + rect.width) / 2) + 'px';
}
if (document.getElementById('dt' + eval(1 + huhti))) {
if (lastrect) {
//alert( eval(eval(eval('' + rect.x) - eval('' + lastrect.x)) / 2));
//document.getElementById('td' + huhti).style.left='' + eval(eval(eval('' + rect.left) - eval('' + lastrect.left)) / 2) + 'px';
document.getElementById('td' + huhti).style.width='' + lastrect.width + 'px';
} else {
document.getElementById('td' + huhti).style.width='' + rect.width + 'px';
}
}
lastrect=rect;
huhti++;
}
prevnum=mynum;
if (xfit != '' && xeit.indexOf('@') != -1) {
emailit(xeit);
xfit='';
xeit='';
}
}

function fupper(iois) {
if (first >= 2) {
acontou = (iois.contentWindow || iois.contentDocument);
if (acontou != null) {
if (acontou.document) { acontou = acontou.document; }
if (acontou.body != null) {
if (acontou.body.innerHTML.indexOf(' is a ' + 'prim' + 'e ') != -1) {
document.getElementById('shuh').innerHTML+=' It has a <a target=_blank href=https://www.math-only-math.com/various-types-of-numbers.html>twin prime number</a> ' + decodeURIComponent(iois.src.split('number=')[1].split('&')[0].split('#')[0]).split('.')[0] + '. ';
}
}
}
}
first++;
if (first == 4) {
first=2;
if (altc != '' && document.getElementById('shuh').innerHTML.indexOf(' <a ') == -1) {
if (top.location.href != altc) {
top.location.href=altc;
}
}
}
}

function flower(iois) {
if (first >= 2) {
acontoi = (iois.contentWindow || iois.contentDocument);
if (acontoi != null) {
if (acontoi.document) { acontoi = acontoi.document; }
if (acontoi.body != null) {
if (acontoi.body.innerHTML.indexOf(' is a ' + 'prim' + 'e ') != -1) {
document.getElementById('shuh').innerHTML+=' It has a <a target=_blank href=https://www.math-only-math.com/various-types-of-numbers.html>twin prime number</a> ' + decodeURIComponent(iois.src.split('number=')[1].split('&')[0].split('#')[0]).split('.')[0] + '. ';
}
}
}
}
first++;
if (first == 4) {
first=2;
if (altc != '' && document.getElementById('shuh').innerHTML.indexOf(' <a ') == -1) {
if (top.location.href != altc) {
top.location.href=altc;
}
}
}
}

function arsthen() {
var ij=0;
if (document.getElementById('myicon')) {
if (rldone != '') {
ij=eval(-1 + eval(-1 * eval('' + rldone.trim())));
} else {
if (!canvas) {
canvas = document.getElementById('canvas'),
context = canvas.getContext('2d');
}
}
if (eval('' + datauris.length) < 6) {
img = new Image();
img.onload = function() {
if (canvas) {
context.clearRect(0,0,32,32);
context.drawImage(img, 0, 0, 32, 32);
}
if (canvas) {
datauris.push(canvas.toDataURL('image/png'));
} else {
datauris.push('/favicon.ico');
}
};
img.src=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
document.getElementById('myicon').href=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
} else {
if (1 == 1) {
img = new Image();
img.onload = function() {
context.clearRect(0,0,32,32);
context.drawImage(img, 0, 0, 32, 32);
var zz=0;
var tt=32;
zz=Math.abs(ioffset);
tt=eval(32 - Math.abs(ioffset));

if (ifactor == 1) {
ioffset++;
if (ioffset >= 14) {
ifactor=-1;
}
} else {
ioffset--;
if (ioffset <= 1) {
ifactor=1;
}
}

console.log('zz=' + zz + ' and tt=' + tt + ' and ioffset=' + ioffset);
// Thanks to https://www.geeksforgeeks.org/how-to-use-animation-on-favicon-image/
var linerGradient = context.createLinearGradient(zz, zz, tt, tt);
linerGradient.addColorStop(0, '#8be8a7');
linerGradient.addColorStop(1, '#297d4c');
context.strokeStyle = linerGradient;
context.lineWidth = 4;
context.beginPath();
context.moveTo(zz, zz);
context.lineTo(tt, zz);
context.moveTo(tt, zz);
context.lineTo(tt, tt);
context.moveTo(tt, tt);
context.lineTo(zz, tt);
context.moveTo(zz, tt);
context.lineTo(zz, zz);
context.stroke();
document.getElementById('myicon').href=canvas.toDataURL('image/png'); //datauris[ij];
};
img.src=datauris[ij];
} else {
document.getElementById('myicon').href=datauris[ij];
}
console.log('ij=' + ij + ' and datauris length is ' + datauris[ij].length);
}
if (rldone == '') {
rldone='-2';
} else if (rldone != rldone.trim()) {
rldone='' + eval(1 + eval('' + rldone.trim())) + ' ';
if (rldone == '-1 ') { rldone=''; }
} else {
rldone='' + eval(-1 + eval('' + rldone.trim()));
if (rldone == '-7') { rldone='-5 '; }
}
} else {
var fi=document.createElement('link');
fi.rel='icon';
fi.id='myicon';
if (rldone == '') {
if (datauris.length == 0) {
img = new Image();
img.onload = function() {
context.clearRect(0,0,32,32);
context.drawImage(img, 0, 0, 32, 32);
datauris.push(canvas.toDataURL('image/png'));
};
img.src=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
}
fi.href=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
rldone='-2';
} else {
if (eval('' + datauris.length) < 6) {
img = new Image();
img.onload = function() {
context.clearRect(0,0,32,32);
context.drawImage(img, 0, 0, 32, 32);
datauris.push(canvas.toDataURL('image/png'));
};
img.src=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
}
fi.href=document.URL.split('//')[0] + '//' + document.URL.split('//')[1].split('/')[0] + '/favicon' + rldone.trim() + '.ico';
rldone='' + eval(-1 + eval('' + rldone.trim()));
if (rldone == '-7') { rldone=''; }
}
document.head.appendChild(fi);
}
setTimeout(arsthen, 1000);
}

function emailit(nne) {
var smslist=[];
var tois='';
if (nne == null) { nne=''; }
if (nne.replace(',','@').replace(';','@').indexOf('@') != -1) {
document.getElementById('ito').value=nne;
var zhr = new XMLHttpRequest();
var zform=new FormData();
zform.append('inline', '');
while (nne.split(';')[0].split(',')[0].indexOf('@') == -1 && eval('' + nne.length) > 1) {
smslist.push(nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
tois=nne.split(';')[0].split(',')[0].trim();
zform.append('to', nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
while (nne.split(';')[0].split(',')[0].indexOf('@') == -1 && eval('' + nne.length) > 1) {
smslist.push(nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
zform.append('cc', nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
while (nne.split(';')[0].split(',')[0].indexOf('@') == -1 && eval('' + nne.length) > 1) {
smslist.push(nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
zform.append('bcc', nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
while (nne.split(';')[0].split(',')[0].indexOf('@') == -1 && eval('' + nne.length) > 1) {
smslist.push(nne.split(';')[0].split(',')[0]);
nne=nne.replace(nne.split(';')[0].split(',')[0], '');
if (eval('' + nne.length) > 1) {
nne=nne.substring(1);
}
}
zform.append('subj', 'Prime Numbers via Fractions');
//zform.append('body', '<html><head><style> #tr1 { background-color: lightgreen; } #tr2 { background-color: lightblue; } #tr3 { background-color: yellow; } #tr4 { background-color: pink; } td { height: 10%; } </style></head><body>' + document.body.innerHTML.replace(/NONE\;/g,'inline-block;').split('<iframe ')[0].replace(/\.\/fractional\_prime\.html/g, document.URL.split('?')[0].split('#')[0]) + '</body><html>');
zform.append('body', '<html><body>' + document.body.innerHTML.replace(/NONE\;/g,'inline-block;').split('<iframe ')[0].replace(/\.\/fractional\_prime\.html/g, document.URL.split('?')[0].split('#')[0]).replace('80vh;','40vh;').replace(' id="' + curmode + '"', ' id="' + curmode + '" selected') + '</body><html>');
if (tois != '') {
zhr.open('post', '//www.rjmprogramming.com.au/HTMLCSS/emailhtml.php', true);
zhr.send(zform);
}
if (eval('' + smslist.length) > 0) {
if (altc == '') {
altc=document.URL.split('#')[0].split('?')[0] + '?number=' + ('' + mynum).split('.')[0] + usuffix;
}
for (var ihj=0; ihj<eval('' + smslist.length); ihj++) {
//alert(smslist[ihj] + ' and altc=' + altc);
if (smslist[ihj].trim() != '') {
document.getElementById('asms').href='sms:' + ('' + smslist[ihj].trim()) + '&body=' + encodeURIComponent(altc);
if (document.getElementById('asms').title.indexOf('SMS ') == -1) {
document.getElementById('asms').title='SMS ' + ('' + smslist[ihj].trim());
} else {
document.getElementById('asms').title+=' and ' + ('' + smslist[ihj].trim());
}
document.getElementById('asms').click();
}
}
}
} else if (('' + nne.trim()) != '' && ('' + nne.trim()).replace(/0/g,'').replace(/1/g,'').replace(/2/g,'').replace(/3/g,'').replace(/4/g,'').replace(/5/g,'').replace(/6/g,'').replace(/7/g,'').replace(/8/g,'').replace(/9/g,'') == '') {
if (altc == '') {
altc=document.URL.split('#')[0].split('?')[0] + '?number=' + ('' + mynum).split('.')[0] + usuffix;
}
document.getElementById('asms').href='sms:' + ('' + nne.trim()) + '&body=' + encodeURIComponent(altc);
document.getElementById('asms').title='SMS ' + ('' + nne.trim());
document.getElementById('asms').click();
}
}

function aske() {
var nne=prompt('Please enter email address (comma separate an optional CC then BCC) and/or an SMS number?', '');
if (nne == null) { nne=''; }
emailit(nne);
}

function aemailf() {
aij=eval(eval(1 + aij) % aemailihs.length);
document.getElementById('aemail').innerHTML=aemailihs[aij];
setTimeout(aemailf, 5000);
}

setTimeout(arsthen, 1000);
setTimeout(aemailf, 5000);
</script>

</head>
<body onload='fcalc();'>
<h1>Fractional Approach to Prime Number Detection</h1>
<h3>RJM Programming <a id=aemail onclick=aske(); title='Email or SMS' style='cursor:pointer;text-decoration:underline;'>-</a> August<a id=asms data-onclick=aske(); title=SMS style='text-decoration:none;'>,</a> 2021</h3>
<form id=myform method=GET action="./fractional_prime.html">
<table id=mytable border=1 style='width:96%;text-align:center;height:80vh;'>
</table>
<input type=submit style="display:NONE;background-color:lightgreen;" value=Show></input> <input name=forward type=submit style="display:NONE;background-color:orange;" value=" and Email Back to Me"></input> <input type=hidden id=ito name=ito value=''></input> <input title='Optionally semicolon separate a forwarding email/SMS comma separated list after your number of interest' style="display:NONE;" name=number type=text id=inumber value=60></input> <select name=display id=sdisplay style="display:NONE;"><option data-value="supsub" id="supsub" value="">sup numerator and sub denominator</option><option value=boring id="boring">no sup nor sub nor i nor b</option><option value=sup id="sup">sup numerator only</option><option value=sub id="sub">sub denominator only</option><option value=ib id="ib">italic numerator and bold denominator</option><option value=bi id="bi">bold numerator and italic denominator</option><option value=emoji id="emoji">emoji</option><option value=roman id="roman">roman numerals</option><option value=egyptian id="egyptian">egyptian</option><option value=hexadecimal id="hexadecimal">hexadecimal</option></select>
</form>
<iframe id=iupper style='display:none;' onload='fupper(this);' src='./fractional_prime.html'></iframe>
<iframe id=ilower style='display:none;' onload='flower(this);' src='./fractional_prime.html'></iframe>
<canvas id="canvas" width=32 height=32 style="display:none;"></canvas>
</body>
</html>