A275273 p - n!, where p is the third smallest prime > n!.

4, 5, 7, 13, 17, 19, 37, 37, 31, 41, 19, 59, 109, 71, 179, 73, 59, 73, 113, 53, 47, 127, 149, 263, 107, 241, 59, 103, 317, 241, 317, 113, 197, 127, 109, 647, 397, 67, 281, 67, 211, 163, 109, 107, 439, 521, 709, 101, 383, 337, 397, 223, 337, 601, 281, 311

Offset

1,1

Comments

Is every term except 4 a prime?

Links

Clark Kimberling, Table of n, a(n) for n = 1..300

Example

For n = 4, we have n! = 24, so that p = 37, and a(4) = 13.

Mathematica

Table[NextPrime[n!, 3] - n!, {n, 1, 150}]
NextPrime[#, 3]-#&/@(Range[60]!) (* Harvey P. Dale, Sep 29 2024 *)

Crossrefs

Cf. A275272, A000040.

Sequence in context: A064237 A139373 A293757 * A069575 A250182 A358701

Adjacent sequences: A275270 A275271 A275272 * A275274 A275275 A275276

Keyword

nonn,easy

Author

Clark Kimberling, Jul 23 2016

Status

approved