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A063096 Non-record differences among consecutive primes. 1

%I #11 Jun 26 2018 04:56:12

%S 10,12,16,24,26,28,30,32,38,40,42,46,48,50,54,56,58,60,62,64,66,68,70,

%T 74,76,78,80,82,84,88,90,92,94,98,100,102,104,106,108,110,116,120,122,

%U 124,126,128,130,134,136,138,140,142,144,146,150,152,156,158,160,162

%N Non-record differences among consecutive primes.

%C These values do not arise in A005250 nor in A063095.

%C Almost certainly this sequence is exactly the even numbers not in A005250. - _Franklin T. Adams-Watters_, Oct 09 2006

%e 10 and 12 are here because after the first gap of 8 (89 to 97), the next larger gap is 14 (113 to 127); thus 10 and 12 are never the largest gap. 11 is not here because it is never the gap between consecutive primes.

%o (PARI) { default(primelimit, 4294965247); n=0; r=0; for (m=1, 10^9, g=prime(m + 1) - prime(m); if (g > r, a=r + 2; r=g; while (a < r, write("b063096.txt", n++, " ", a); a+=2); if (n==100, break)) ) } \\ _Harry J. Smith_, Aug 18 2009

%Y Cf. A005250, A001223, A063095.

%K nonn

%O 1,1

%A _Labos Elemer_, Aug 07 2001

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)