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A248085 Initial prime of 4 primes in arithmetic progression with difference 12. 2
5, 7, 17, 47, 127, 227, 257, 397, 467, 607, 997, 1447, 1487, 1697, 1877, 2647, 3307, 3547, 3907, 4217, 4987, 5407, 6287, 6947, 7297, 7537, 7817, 10067, 10627, 11047, 11777, 12227, 12577, 13147, 14747, 15137, 15737, 15877, 17827, 19727, 19937, 20707, 21577, 22027, 22247, 23017, 24097, 26017 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Or, primes p such that p + 12, p + 24 and p + 36 are also primes.

Primes are not necessarily consecutive ones. A033447 is subsequence: a(92) = 111497 = A033447(1), a(144) = 258527 = A033447(2), etc.

The only case with p + 48 prime is p = 5, in all other cases p + 48 is divisible by 5.

All terms >5 are congruent to 7 (mod 10). - Zak Seidov, Jun 12 2018

LINKS

Jens Kruse Andersen, Table of n, a(n) for n = 1..10000

MAPLE

A248085:=n->`if`(isprime(n) and isprime(n+12) and isprime(n+24) and isprime(n+36), n, NULL): seq(A248085(n), n=1..10^5); # Wesley Ivan Hurt, Oct 01 2014

MATHEMATICA

Select[Prime[Range[1000]], PrimeQ[# + 12] && PrimeQ[# + 24] && PrimeQ[# + 36] &] (* Alonso del Arte, Oct 01 2014 *)

Select[Prime[Range[3000]], AllTrue[#+{12, 24, 36}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Feb 08 2016 *)

PROG

(PARI) forprime(p=5, 10^5, isprime(p+12)&&isprime(p+24)&&isprime(p+36)&&print1(p", "))

CROSSREFS

Cf. A033447.

Sequence in context: A106955 A030785 A019404 * A079604 A101580 A190663

Adjacent sequences:  A248082 A248083 A248084 * A248086 A248087 A248088

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 01 2014

STATUS

approved

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Last modified February 25 02:54 EST 2020. Contains 332217 sequences. (Running on oeis4.)