A255512 - OEIS

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A255512

Numbers k such that 60*k+41, 90*k+61 and 150*k+101 are all prime.

0, 1, 4, 7, 21, 24, 31, 43, 46, 70, 99, 108, 109, 112, 154, 158, 176, 213, 218, 234, 238, 267, 273, 311, 319, 337, 381, 515, 518, 519, 528, 540, 658, 680, 689, 704, 736, 739, 752, 781, 837, 889, 1012, 1071, 1165, 1170, 1180, 1197, 1233, 1331, 1344, 1373, 1379

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

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

Umberto Cerruti, Pseudoprimi di Fermat e numeri di Carmichael (in Italian), p. 10.

Index entries for sequences related to Carmichael numbers.

MATHEMATICA

Select[Range[0, 1400], PrimeQ[60 # + 41] && PrimeQ[90 # + 61] && PrimeQ[150 # + 101] &]

Select[Range[0, 1500], AllTrue[{60#+41, 90#+61, 150#+101}, PrimeQ]&] (* Harvey P. Dale, Jan 13 2024 *)

PROG

(Magma) [n: n in [0..2000]| IsPrime(60*n+41) and IsPrime(90*n+61) and IsPrime(150*n+101)];

(PARI) is(k) = isprime(60*k + 41) && isprime(90*k + 61) && isprime(150*k + 101); \\ Amiram Eldar, Apr 24 2024

CROSSREFS

Cf. A202113.

Cf. A255441 (Carmichael numbers of the form (60k+41)*(90k+61)*(150k+101)).

Sequence in context: A367911 A368185 A359603 * A039959 A320663 A186335

Adjacent sequences: A255509 A255510 A255511 * A255513 A255514 A255515

KEYWORD

nonn

AUTHOR

Vincenzo Librandi, Feb 24 2015

STATUS

approved