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A070865 Smallest prime such that the difference of successive terms is strictly increasing. 9

%I

%S 2,3,5,11,19,29,41,59,79,101,127,157,191,227,269,313,359,409,461,521,

%T 587,659,733,809,887,967,1049,1151,1259,1373,1489,1607,1733,1861,1993,

%U 2129,2267,2411,2557,2707,2861,3019,3181,3347,3517,3691,3877,4073,4271

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

%C The slowest increasing sequence of primes with strictly increasing difference of successive terms. - _Zak Seidov_ and _Charles R Greathouse IV_, May 01 2015

%H T. D. Noe, <a href="/A070865/b070865.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) >> n^2. - _Charles R Greathouse IV_, Apr 30 2015

%t 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 *)

%t nxt[{a_,b_}]:={b,NextPrime[2b-a]}; Transpose[NestList[nxt,{2,3},50]][[1]] (* _Harvey P. Dale_, Jan 04 2015 *)

%o (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

%Y Cf. A070866.

%K nonn

%O 1,1

%A _Amarnath Murthy_, May 16 2002

%E Corrected and extended by _Lior Manor_, Jun 02 2002

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Last modified August 4 02:15 EDT 2021. Contains 346441 sequences. (Running on oeis4.)