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A023203 Primes p such that p + 10 is also prime. 33
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)
Eric Weisstein's World of Mathematics, Twin Primes
MAPLE
for p from 1 to 10000 do if isprime(p) and isprime(p+10) then print(p) end if end do # Matt C. Anderson, Aug 26 2022
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.
Sequence in context: A215801 A215809 A015916 * A086135 A023220 A207990
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 March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)