A128958 Numbers n such that n^2+(n+1)^3 is prime.

2, 3, 5, 6, 12, 14, 17, 20, 26, 35, 36, 38, 39, 48, 50, 65, 66, 71, 72, 74, 80, 87, 89, 90, 96, 105, 107, 108, 113, 114, 119, 120, 122, 132, 134, 135, 137, 144, 146, 152, 155, 156, 158, 162, 167, 168, 185, 186, 200, 201, 207, 213, 221, 225, 230, 231, 236, 237, 248

Offset

1,1

Comments

All terms are {0,2} mod 3. - Zak Seidov, Dec 15 2013

Links

Zak Seidov, Table of n, a(n) for n = 1..2000

Example

2^2+3^3=31, 3^2+4^3=73, 5^2+6^3=241, 6^2+7^3=379, 12^2+13^3=2341 all primes.

Mathematica

Select[Range[0, 300], PrimeQ[ #^2+(#+1)^3]&]

Prog

(PARI) is(n)=isprime(n^2+(n+1)^3) \\ Charles R Greathouse IV, Jun 06 2017

Crossrefs

Corresponding primes are in A155933. - Zak Seidov, Dec 15 2013

Sequence in context: A339308 A127525 A179333 * A007435 A125877 A118787

Adjacent sequences: A128955 A128956 A128957 * A128959 A128960 A128961

Keyword

nonn,easy

Author

Zak Seidov, Apr 28 2007

Status

approved