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 A023203 Primes p such that p + 10 is also prime. 31
 3, 7, 13, 19, 31, 37, 43, 61, 73, 79, 97, 103, 127, 139, 157, 163, 181, 223, 229, 241, 271, 283, 307, 337, 349, 373, 379, 409, 421, 433, 439, 457, 499, 547, 577, 607, 631, 643, 673, 691, 709, 733, 751, 787, 811, 829, 853, 877, 919, 937, 967, 1009, 1021, 1039, 1051 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A subset of A002476. It appears that this is also a subset of A007645. The first few terms of A007645 that are not in this sequence are {67, 109, 151, 193, 199, 211, 277, 313, 331, 367, 397, 463, 487, 523, 541, 571, 601, 613, ...}. - Alexander Adamchuk, Aug 15 2006 The entries are all in A007645, because they cannot be of the form p = 3*j + 2. If they were, p + 10 = 3*j + 12 would be divisible by 3 and not prime. - R. J. Mathar, Oct 30 2009 LINKS Matt C. Anderson, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale) Maxie D. Schmidt, New Congruences and Finite Difference Equations for Generalized Factorial Functions, arXiv:1701.04741 [math.CO], 2017. Eric Weisstein's World of Mathematics, Twin Primes MATHEMATICA Select[Prime[Range[200]], PrimeQ[# + 10] &] (* Harvey P. Dale, Dec 14 2011 *) PROG (MAGMA) [n: n in [0..1000] | IsPrime(n) and IsPrime(n+10)]; // Vincenzo Librandi, Nov 20 2010 (PARI) is(n)=isprime(n)&&isprime(n+10) \\ Charles R Greathouse IV, Jul 01 2013 CROSSREFS Different from A015916. Cf. A031928, A079033. Cf. A002476, A007645, A092146. Sequence in context: A215801 A215809 A015916 * A086135 A023220 A207990 Adjacent sequences:  A023200 A023201 A023202 * A023204 A023205 A023206 KEYWORD nonn,easy AUTHOR EXTENSIONS Revised by N. J. A. Sloane, Jan 29 2013 New name from Michel Marcus, Mar 04 2020 STATUS approved

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Last modified October 25 06:05 EDT 2020. Contains 338011 sequences. (Running on oeis4.)