This is the list of Prime Numbers with the biggest Gaps(of Not Prime Numbers after them).
Do you see a pattern?
2;1
3;2
7;4
23;6
89;8
113;14
523;18
887;20
1129;22
1327;34
9551;36
15683;44
19609;52
31397;72
155921;86
360653;96
370261;112
492113;114
1349533;118
1357201;132
2010733;148
4652353;154
17051707;180
20831323;210
47326693;220
122164747;222
189695659;234
191912783;248
387096133;250
436273009;282
1294268491;288
1453168141;292
2300942549;320
3842610773;336
4302407359;354
Don't know what it has to be but a few of these number combinations can be written as rational functions that can not be simplified any further (numerator is always a prime F.ex: (1/2+1)/2=3/4; (2/3+1)/3=5/9;(6/23+1)/23=29/529;...(52/19609+1)/19609=19661/19609^2
Numerators 3,5,29,...19661... are always primes (well I only checked a few) Honestly I only gave it a quick look at
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