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A070865 Smallest prime such that the difference of successive terms is strictly increasing. 9
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 20 12:33 EDT 2019. Contains 323422 sequences. (Running on oeis4.)