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A067891 Primes p such that sigma(p+1) = sigma(p-1). 5

%I #26 May 08 2016 16:59:16

%S 367,919,30593,95393,117571,124759,147341,197261,334541,344417,463219,

%T 732257,755081,931757,982759,1996759,2401219,2962697,3013447,4722941,

%U 7892827,13333097,13358407,17946259,19828483,19855471,19904981

%N Primes p such that sigma(p+1) = sigma(p-1).

%H Giovanni Resta, <a href="/A067891/b067891.txt">Table of n, a(n) for n = 1..769</a> (terms < 10^12)

%t fQ[p_] := DivisorSigma[1, p - 1] == DivisorSigma[1, p + 1]; p = 2; lst = {}; While[p < 100000000, If[fQ@ p, AppendTo[lst, p]]; p = NextPrime@ p]; lst (* _Vladimir Joseph Stephan Orlovsky_, Dec 03 2009 and modified by _Robert G. Wilson v_, May 08 2016 *)

%o (PARI) for(n=2,10^8,if(isprime(n) && sigma(n+1)==sigma(n-1),print1(n,","))) \\ It is more efficient to use forprime(...).

%o (PARI) is_A067891(p)=sigma(p-1)==sigma(p+1)&&isprime(p) \\ _M. F. Hasler_, Jul 31 2015

%Y Cf. A067889 (analog with tau).

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Mar 02 2002

%E More terms from _Rick L. Shepherd_, Apr 19 2002

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Last modified April 25 13:12 EDT 2024. Contains 371969 sequences. (Running on oeis4.)