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A217734 Primes of the form x^2 + y^3 + 1 where x and y are prime 2
13, 37, 53, 149, 151, 197, 317, 353, 389, 487, 557, 967, 1087, 1381, 1453, 1621, 1693, 1709, 1861, 1877, 2207, 2237, 2293, 2837, 3181, 3541, 3607, 3847, 4517, 4813, 5167, 5443, 5821, 6269, 6367, 6373, 6661, 6763, 6869, 6917, 7573, 7723, 7949, 8221, 9403, 9437 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

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

EXAMPLE

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

CROSSREFS

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

Sequence in context: A063913 A119705 A155560 * A319969 A045809 A238675

Adjacent sequences:  A217731 A217732 A217733 * A217735 A217736 A217737

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 7 15:30 EDT 2020. Contains 336276 sequences. (Running on oeis4.)