A216539 Largest prime p such that there is no n-term arithmetic progression of primes ending with p.

2, 37, 557, 100291, 2521081, 198702899, 5082095279

Offset

2,1

Comments

For n>=3, the value given is only a conjecture.

Links

Table of n, a(n) for n=2..8.

Example

It is conjectured (A216495) that 37 is the largest prime p with no 3-term arithmetic progression ending with p. This would imply a(3)=37. (7,19,31, for example, is a progression ending with 31.)

Crossrefs

A216495 conjectures a(3).

A094383 conjectures a(4).

A216497 conjectures a(5).

A216498 conjectures a(6).

A216468 conjectures a(7).

A216590 conjectures a(8).

Cf. A005115.

Sequence in context: A120047 A300926 A337306 * A139122 A123216 A307318

Adjacent sequences: A216536 A216537 A216538 * A216540 A216541 A216542

Keyword

nonn,hard,more

Author

Alex Ratushnyak, Sep 12 2012

Status

approved