|
|
A221902
|
|
Primes of the form 2*n^2 + 10*n + 3.
|
|
3
|
|
|
31, 103, 211, 751, 1291, 2371, 2803, 3271, 5503, 6151, 8311, 9103, 9931, 17851, 23971, 25303, 32503, 42331, 49603, 51511, 68071, 82003, 94603, 97231, 105331, 119551, 122503, 137803, 157351, 167611, 171103, 174631, 192811, 204151
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Conjecture: After the first term, 2^a(n)-1 is not prime; in other words, these primes (except 31) are included in A054723.
|
|
LINKS
|
|
|
MATHEMATICA
|
Select[Table[2 n^2 + 10 n + 3, {n, 500}], PrimeQ]
|
|
PROG
|
(Magma) [a: n in [1..500] | IsPrime(a) where a is 2*n^2 + 10*n + 3];
|
|
CROSSREFS
|
Cf. Primes of the form 2*n^2+2*(2*k+3)*n+(2*k+1): A176549 (k=0), A154577 (k=2), A154592 (k=3), A154601 (k=4), A217494 (k=7), A217495 (k=10), A217496 (k=11), A217497 (k=12), A217498 (k=13), A217499 (k=16), A217500 (k=17), A217501 (k=18), A217620 (k=19), A217621 (k=21).
Cf. A054723 (Prime exponents of nonprime Mersenne numbers).
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|