# [seqfan] Re: Consecutive non-square prime gaps

Zak Seidov zakseidov at mail.ru
Tue Nov 15 06:34:38 CET 2016

```Next four terms:
4271855843,109,
5182096277,119,
22145089667,123,
31011452399,132,

E.g., 31011452399 is the prime followed by 132 non-square gaps:
{2, 52, 20, 24, 42, 22, 8, 34, 8, 18, 22, 12, 6, 8, 46, 18, 2, 6, 82, 6, 44, 10,
48, 8, 10, 2, 18, 30, 10, 12, 8, 12, 12, 12, 28, 12, 6, 30, 14, 6, 34, 20, 24, 10,
26, 54, 12, 24, 28, 80, 42, 30, 6, 58, 14, 22, 24, 32, 10, 24, 78, 6, 30, 42, 38,
22, 12, 42, 8, 6, 12, 30, 40, 20, 34, 54, 6, 18, 8, 18, 34, 50, 28, 8, 34, 6, 62, 22,
6, 42, 24, 14, 6, 10, 44, 24, 6, 12, 40, 20, 54, 94, 12, 12, 2, 30, 10, 66, 14, 54,
12, 22, 2, 18, 12, 18, 10, 2, 24, 30, 6, 10, 30, 26, 28, 32, 22, 30, 18, 62, 12, 18}
while next, 133rd gap is 16=4^2.

>Понедельник, 14 ноября 2016, 4:04 +02:00 от Zak  Seidov via SeqFan <seqfan at list.seqfan.eu>:
>
>Record runs of consecutive primes with non-square gaps:
>2,0,
>3,2,
>23,3,
>47,4,
>131,6,
>233,8,
>503,16,
>4157,32,
>19433,34,
>213023,45,
>2441237,52,
>3239393,56,
>6638393,60,
>7524233,66,
>8528687 ,68,
>10778687,76,
>17922347,84,
>192199181,85,
>584054411,91,
>609488423,97,
>984197369,108,
>More terms?
>--
>Zak  Seidov
>
>--
>Seqfan Mailing list -  http://list.seqfan.eu/

```