A144311 The length of the longest sequence of consecutive integers, each equal to 1 or -1 modulo at least one of the first n primes.

1, 5, 11, 29, 41, 65, 107, 149, 203, 257, 347, 527, 545, 617, 707, 869

Offset

1,2

Comments

For n > 1, a(n) == 5 (mod 6).

Links

Table of n, a(n) for n=1..16.

StackExchange, OEIS A144311 Generating function, May 10 2016.

Example

For the first, second and fourth terms the sequences are {1}, {1,2,3,4,5}, and {73,74,...,101}. [corrected by Felix A. Pahl, May 10 2016]

Crossrefs

Cf. A058989.

Sequence in context: A049489 A242383 A141785 * A074367 A088486 A174917

Adjacent sequences: A144308 A144309 A144310 * A144312 A144313 A144314

Keyword

nonn,more,hard

Author

Andrew Carter (acarter09(AT)newarka.edu), Sep 17 2008

Extensions

a(8)-a(16) from Max Alekseyev, Nov 18 2009

Status

approved