A164939 These are prime numbers p such that p^3 + p^2 + p + 2 is also prime

3, 5, 7, 13, 23, 29, 43, 79, 89, 113, 139, 163, 193, 197, 199, 229, 233, 277, 283, 317, 367, 379, 389, 503, 619, 727, 769, 797, 829, 839, 953, 967, 977, 997, 1063, 1229, 1297, 1307, 1399, 1409, 1483, 1607, 1619, 1637, 1697, 1759, 1777, 1877, 1979, 1987, 1999

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

3 is prime as is 3^3 + 3^2 + 3 + 2 = 41

Mathematica

Select[Prime[Range[500]], PrimeQ[ #^3 + #^2 + # + 2]&]

Crossrefs

A027444, A053698

Sequence in context: A107664 A321671 A085013 * A125272 A127443 A003229

Adjacent sequences: A164936 A164937 A164938 * A164940 A164941 A164942

Keyword

easy,nonn

Author

B. R. Becker (bbecker(AT)panda3.phys.unm.edu), Sep 01 2009

Status

approved