A067831 -id:A067831 - cp's OEIS frontend

A092402 Primes of the form p+8 where p is a prime.

11, 13, 19, 31, 37, 61, 67, 79, 97, 109, 139, 157, 181, 199, 241, 271, 277, 367, 397, 409, 439, 457, 487, 499, 571, 577, 601, 607, 661, 691, 709, 727, 751, 769, 829, 919, 937, 991, 1021, 1039, 1069, 1117, 1171, 1201, 1231, 1237, 1291, 1297, 1327, 1381, 1447

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Mar 22 2004

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Select primes from A000040 + 8.

Cf. A067829 A067830 A067831.

Select[Prime[Range[5,2000]],PrimeQ[#-8]&] (* Vincenzo Librandi, Jul 14 2012 *)

A067832 Primes p such that sigma(p-6) > p.

Original entry on oeis.org

41, 61, 71, 83, 97, 101, 127, 131, 139, 149, 151, 167, 181, 191, 193, 211, 223, 227, 241, 251, 271, 281, 293, 307, 311, 331, 347, 349, 367, 383, 397, 401, 409, 419, 421, 431, 433, 443, 457, 461, 479, 487, 491, 499, 503, 521, 523, 541, 557, 571, 587, 601

Offset: 1

Benoit Cloitre, Feb 08 2002

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A000203, A067831.

Select[Prime[Range[3,150]],DivisorSigma[1,#-6]>#&] (* Harvey P. Dale, Jul 01 2017 *)

isok(p) = p > 6 && isprime(p) && sigma(p-6) > p; \\ Amiram Eldar, Apr 24 2025

A098933 Primes of the form p+14, where p is a prime.

Original entry on oeis.org

17, 19, 31, 37, 43, 61, 67, 73, 97, 103, 127, 151, 163, 181, 193, 211, 241, 271, 277, 283, 307, 331, 367, 373, 397, 433, 457, 463, 523, 571, 577, 601, 607, 613, 631, 661, 673, 691, 733, 757, 787, 811, 823, 853, 877, 967, 991, 997, 1033, 1063, 1117, 1123, 1201

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Oct 20 2004

Cf. A000040 A006512 A067829 A094743 A046132 A067830 A046117 A067831 A092402 A092146 A092216.

isok(n) = isprime(n) && isprime(n - 14) \\ Michel Marcus, Jul 17 2013

A172988 Primes p such that either p-3 or p-6 is prime.

Original entry on oeis.org

5, 11, 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 89, 103, 107, 109, 113, 137, 157, 163, 173, 179, 197, 199, 229, 233, 239, 257, 263, 269, 277, 283, 313, 317, 337, 353, 359, 373, 379, 389, 439, 449, 463, 467, 509, 547, 563, 569, 577, 593, 599, 607, 613

Offset: 1

Juri-Stepan Gerasimov, Feb 07 2010

nonn

5 is the only prime p for which p-3 is prime, since p-3 is even for any odd prime and 2 is the only even prime. - Harvey P. Dale, Apr 03 2019

Cf. A046117, A067831.

Select[Prime[Range[150]],AnyTrue[#+{-3,-6},PrimeQ]&] (* Requires Mathematica version 10 or later *) (* or *) Join[{5},Select[Prime[ Range[ 3,150]],PrimeQ[#-6]&]] (* see Comment *) (* Harvey P. Dale, Apr 03 2019 *)

a(n)=A046117(n+1).

449 inserted by R. J. Mathar, Mar 09 2010

cp's OEIS Frontend

A092402 Primes of the form p+8 where p is a prime.

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A067832 Primes p such that sigma(p-6) > p.

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A098933 Primes of the form p+14, where p is a prime.

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A172988 Primes p such that either p-3 or p-6 is prime.

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