1,1

Primes of the form p2^2+p3^3+1, where p2 and p3 are prime.

Terms are primes of the form 1 + A045699(n) for some n.

The first term that can be expressed two distinct ways is a(207) == 159079 == 101^2+53^3+1 == 367^2+29^3+1.

There are 27 values < 10^8 that can be expressed in two distinct ways.

Christian N. K. Anderson, Table of n, a(n) for n = 1..10000

53 is in the sequence because 53 = 5^2 + 3^3 + 1 and 3, 5, and 53 are all prime numbers.

Cf. A045700 (primes of the form p1^2 + p2^3).

Sequence in context: A119705 A343894 A155560 * A319969 A045809 A238675

Adjacent sequences: A217731 A217732 A217733 * A217735 A217736 A217737

nonn

Kevin L. Schwartz and Christian N. K. Anderson, Mar 22 2013

approved