A070865 Smallest prime such that the difference of successive terms is strictly increasing.

2, 3, 5, 11, 19, 29, 41, 59, 79, 101, 127, 157, 191, 227, 269, 313, 359, 409, 461, 521, 587, 659, 733, 809, 887, 967, 1049, 1151, 1259, 1373, 1489, 1607, 1733, 1861, 1993, 2129, 2267, 2411, 2557, 2707, 2861, 3019, 3181, 3347, 3517, 3691, 3877, 4073, 4271

Offset

1,1

Comments

The slowest increasing sequence of primes with strictly increasing difference of successive terms. - Zak Seidov and Charles R Greathouse IV, May 01 2015

Links

T. D. Noe, Table of n, a(n) for n = 1..10000

Formula

a(n) >> n^2. - Charles R Greathouse IV, Apr 30 2015

Mathematica

d=0; p=2; t={p}; Do[d=NextPrime[p+d]-p; AppendTo[t, p+=d], {99}]; t (* Vladimir Joseph Stephan Orlovsky, May 29 2010 *)
nxt[{a_, b_}]:={b, NextPrime[2b-a]}; Transpose[NestList[nxt, {2, 3}, 50]][[1]] (* Harvey P. Dale, Jan 04 2015 *)

Prog

(PARI) t=0; print1(last=2); while(1, n=last+t; while(!isprime(n++), ); print1(", "n); t=n-last; last=n) \\ Charles R Greathouse IV, Apr 30 2015

Crossrefs

Cf. A070866.

Sequence in context: A084758 A087582 A235661 * A084697 A037082 A084573

Adjacent sequences: A070862 A070863 A070864 * A070866 A070867 A070868

Keyword

nonn

Author

Amarnath Murthy, May 16 2002

Extensions

Corrected and extended by Lior Manor, Jun 02 2002

Status

approved