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A142398 Primes congruent to 1 mod 48. 2
97, 193, 241, 337, 433, 577, 673, 769, 1009, 1153, 1201, 1249, 1297, 1489, 1777, 1873, 2017, 2113, 2161, 2593, 2689, 2833, 3121, 3169, 3217, 3313, 3361, 3457, 3697, 3793, 3889, 4129, 4177, 4273, 4513, 4561, 4657, 4801, 4993, 5233, 5281, 5521, 5569, 5857 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016

MATHEMATICA

lst={}; Do[If[Mod[n, 48]==1, If[PrimeQ[n], AppendTo[lst, n]]], {n, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 20 2009 *)

Select[Prime[Range[1000]], MemberQ[{1}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(6000) | p mod 48 eq 1]; // Vincenzo Librandi, Aug 27 2012

(PARI) is(n)=isprime(n) && n%48==1 \\ Charles R Greathouse IV, Jul 03 2016

CROSSREFS

Cf. A000040.

Sequence in context: A108655 A107193 A256775 * A133870 A060329 A157924

Adjacent sequences:  A142395 A142396 A142397 * A142399 A142400 A142401

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

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Last modified January 18 18:56 EST 2018. Contains 297864 sequences.