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A252728 Numbers k such that exactly 5 consecutive primes starting with prime(k) are congruent to the same value modulo 7. 1

%I

%S 70872,191056,204048,215955,216351,251872,266249,346159,431099,433456,

%T 443366,461372,517528,654361,664677,793519,841521,865347,904987,

%U 918479,1056902,1060733,1063487,1134245,1140824,1158526

%N Numbers k such that exactly 5 consecutive primes starting with prime(k) are congruent to the same value modulo 7.

%C Or, numbers k such A039705(k) = ... = A039705(k+4), but not A039705(k+5).

%H Zak Seidov, <a href="/A252728/b252728.txt">Table of n, a(n) for n = 1..300</a>

%e k=70872, {A000040(k), ..., A000040(k+4)} = {894287, 894301, 894329, 894343, 894371} == 2 (mod 7).

%Y Cf. A000040, A039705.

%K nonn

%O 1,1

%A _Zak Seidov_, Feb 16 2015

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Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)