cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A186395 Numbers k such that there are 3 primes between 100*k and 100*k + 99.

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%I A186395 #28 Mar 22 2024 03:45:43
%S A186395 588,695,797,1430,1621,1751,1809,1869,1904,1913,2042,2067,2123,2127,
%T A186395 2322,2471,2505,2562,2734,2833,2862,2874,2935,3023,3077,3134,3371,
%U A186395 3380,3552,3611,3679,3703,3707,3725,3878,4046,4167,4215
%N A186395 Numbers k such that there are 3 primes between 100*k and 100*k + 99.
%C A186395 There are 7528 possible prime patterns for centuries having 3 primes. - _Tim Johannes Ohrtmann_, Aug 27 2015
%H A186395 T. D. Noe, <a href="/A186395/b186395.txt">Table of n, a(n) for n = 1..1000</a>
%e A186395 588 is in this sequence because there are 3 primes between 58800 and 58899 (58831, 58889 and 58897).
%o A186395 (PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==3, print1(n", "))); \\ _Charles R Greathouse IV_, Feb 21 2011
%o A186395 (PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==3, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ _Charles R Greathouse IV_, Feb 21 2011
%Y A186395 Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences).
%Y A186395 Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes), A361723 (18 primes).
%K A186395 nonn
%O A186395 1,1
%A A186395 _Tim Johannes Ohrtmann_, Feb 20 2011