A102166 - OEIS

A102166

Numbers n such that 2*n^2 + 11*n + 101 is prime.

0, 2, 6, 8, 12, 14, 18, 36, 38, 42, 44, 48, 50, 66, 72, 74, 78, 80, 84, 90, 92, 102, 104, 116, 140, 150, 152, 158, 162, 164, 170, 182, 186, 192, 198, 200, 204, 216, 218, 222, 236, 242, 254, 258, 266, 282, 290, 294, 302, 312, 318, 332, 336, 338, 342, 354, 356, 366

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OFFSET

1,2

COMMENTS

2 is the smallest one digit prime, 11 is the smallest two digit prime and 101 is the smallest three digit prime.

LINKS

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

EXAMPLE

For n=0, 2*n^2 + 11*n + 101 = 2*0^2 + 11*0 + 101 = 101 (prime)

for n=48, 2*n^2 + 11*n + 101 = 2*48^2 + 11*48 + 101 = 5237 (prime)

for n=92, 2*n^2 + 11*n + 101 = 2*92^2 + 11*92 + 101 = 18041 (prime)

MATHEMATICA