A255441 Carmichael numbers of the form (60k+41)*(90k+61)*(150k+101), where 60k+41, 90k+61 and 150k+101 are all primes.
252601, 3828001, 82929001, 366652201, 8251854001, 12173703001, 25749237001, 67495942201, 82380774001, 285983187601, 802204143001, 1039708768201, 1068674250001, 1158788350201, 2997587784001, 3236207713201, 4467180843001, 7902515425201, 8470346587201
Offset: 1
Keywords
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.
Programs
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Magma
[(60*n+41)*(90*n+61)*(150*n+101): n in [0..300]| IsPrime(60*n+41) and IsPrime(90*n+61) and IsPrime(150*n+101)];
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Mathematica
f[k_] := {60*k + 41, 90*k + 61, 150*k + 101}; Times @@ f[#]& /@ Select[Range[0, 500], And @@ PrimeQ[f[#]] &] (* Amiram Eldar, Apr 24 2024 *) -
PARI
lista(kmax) = for(k = 0, kmax, if(isprime(60*k + 41) && isprime(90*k + 61) && isprime(150*k + 101), print1((60*k+41)*(90*k+61)*(150*k+101), ", "))); \\ Amiram Eldar, Apr 24 2024
Extensions
First term added from Bruno Berselli, Feb 24 2015