A067530 Numbers k such that k - m! is a prime or 1 for all m > 1 and k > m!.

3, 4, 5, 7, 9, 13, 19, 25, 43, 85, 103, 133, 403, 763, 943, 1573, 1603, 2713, 5233, 26023, 37363, 177133, 186043, 276043, 277603, 305863, 968833, 1449313, 1540033, 5854363, 6013873, 26114323, 35088793, 291865753, 724927333

Offset

1,1

Comments

Is the sequence finite?

Next term, if it exists, exceeds 6*10^9. - Sean A. Irvine, Dec 18 2023

Links

Table of n, a(n) for n=1..35.

Example

85 is a term as 85 - 2!, 85 -3!, 85-4! or 83,79 and 61 are primes.

Crossrefs

Cf. A067526, A067527, A067528.

Sequence in context: A227391 A209721 A164572 * A259796 A082922 A036971

Adjacent sequences: A067527 A067528 A067529 * A067531 A067532 A067533

Keyword

nonn

Author

Amarnath Murthy, Feb 17 2002

Extensions

More terms from Sascha Kurz, Mar 19 2002

Offset corrected and a(33)-a(34) from Sean A. Irvine, Dec 18 2023

Status

approved