A333541 Records in A333537.

3, 5, 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 61, 67, 79, 83, 101, 109, 113, 137, 139, 149, 151, 157, 167, 199, 211, 227, 239, 257, 269, 277, 283, 307, 313, 317, 353, 373, 379, 389, 397, 409, 433, 439, 499, 503, 569, 571, 593, 607, 617, 631, 701, 709, 727, 743, 757, 769, 773

Offset

1,1

Comments

For the primes that are not records, see A333542.

Links

David A. Corneth, Table of n, a(n) for n = 1..71

J. S. Myers, R. Schroeppel, S. R. Shannon, N. J. A. Sloane, and P. Zimmermann, Three Cousins of Recaman's Sequence, arXiv:2004:14000 [math.NT], April 2020.

Example

For n = 91 as A332558(91) = 12 we have (91 + A332558(91) + 1) = (91 + 12 + 1) | (91 * 92 * ... * (91 + 12)) = (91 * 92 * ... * (91 + A332558(91))). The largest prime factor of 91 + 12 + 1 = 104 is 13. For no m < 91 the largest prime factor of m + A332558(m) + 1 = A332559(m) is at least 13 so 13 is a new record in A333537. - David A. Corneth, Apr 21 2020

Crossrefs

Cf. A332558, A333537, A333538, A333542.

Sequence in context: A264988 A031163 A106119 * A152820 A023208 A162358

Adjacent sequences: A333538 A333539 A333540 * A333542 A333543 A333544

Keyword

nonn

Author

N. J. A. Sloane, Apr 20 2020, using data from Robert Israel's comment in A333538.

Extensions

More terms from David A. Corneth, Apr 21 2020

Status

approved