cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A070865 #17 May 01 2015 08:15:25
%S A070865 2,3,5,11,19,29,41,59,79,101,127,157,191,227,269,313,359,409,461,521,
%T A070865 587,659,733,809,887,967,1049,1151,1259,1373,1489,1607,1733,1861,1993,
%U A070865 2129,2267,2411,2557,2707,2861,3019,3181,3347,3517,3691,3877,4073,4271
%N A070865 Smallest prime such that the difference of successive terms is strictly increasing.
%C A070865 The slowest increasing sequence of primes with strictly increasing  difference of successive terms. - _Zak Seidov_ and _Charles R Greathouse IV_, May 01 2015
%H A070865 T. D. Noe, <a href="/A070865/b070865.txt">Table of n, a(n) for n = 1..10000</a>
%F A070865 a(n) >> n^2. - _Charles R Greathouse IV_, Apr 30 2015
%t A070865 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 A070865 nxt[{a_,b_}]:={b,NextPrime[2b-a]}; Transpose[NestList[nxt,{2,3},50]][[1]] (* _Harvey P. Dale_, Jan 04 2015 *)
%o A070865 (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 A070865 Cf. A070866.
%K A070865 nonn
%O A070865 1,1
%A A070865 _Amarnath Murthy_, May 16 2002
%E A070865 Corrected and extended by _Lior Manor_, Jun 02 2002