A195354 Records of primes p in the representation of odd n>5 by n=2*p+q, p, q prime, q maximal. A195353 gives the values of n at which an increase of p is required.

2, 3, 7, 19, 31, 41, 47, 67, 79, 139, 181, 229, 233, 277, 307, 383, 421, 463, 619, 643, 659, 691, 743, 967, 1231, 1483, 1609, 1931, 2389, 2719, 2791, 2953, 2971, 3079, 3121, 3217, 3301, 3319, 3617, 3719, 3767

Offset

1,1

Comments

Values of records in A195352. Related to Lemoine's conjecture. Due to the large number of possible representations (A046927) it is both possible to represent n=2*p+q with q<<p (A194829) and with p<<q (this sequence).

Checked up to n=10^13.

References

See A002091.

Links

Table of n, a(n) for n=1..41.

Crossrefs

Cf. A195352, A195353, A194829.

Sequence in context: A073640 A174568 A005382 * A244638 A113165 A128025

Adjacent sequences: A195351 A195352 A195353 * A195355 A195356 A195357

Keyword

nonn

Author

Hugo Pfoertner, Sep 16 2011

Extensions

a(36)-a(41) from Hugo Pfoertner, Sep 26 2011

Status

approved