|
|
A255512
|
|
Numbers k such that 60*k+41, 90*k+61 and 150*k+101 are all prime.
|
|
2
|
|
|
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
|
|
|
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. A255441 (Carmichael numbers of the form (60k+41)*(90k+61)*(150k+101)).
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|