A137874 -id:A137874 - cp's OEIS frontend

A163111 Prime numbers with gaps larger than 18 towards both neighboring primes.

3967, 11027, 11657, 14107, 16033, 16787, 18013, 18617, 18637, 18839, 19661, 21247, 23719, 24281, 24571, 29101, 30367, 31357, 32749, 33247, 33679, 33997, 35201, 36037, 37747, 38501, 40063, 40387, 42533, 42611, 43691, 43913, 44417, 46957

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jul 20 2009

nonn

Harvey P. Dale, Table of n, a(n) for n = 1..1000
Index entries for primes, gaps between

Cf. A137875, A137874, A137873, A137872, A137871

lst={};Do[p=Prime[n];If[ !PrimeQ[p-2]&&!PrimeQ[p+2]&&!PrimeQ[p-4]&&!PrimeQ[p+4]&&!PrimeQ[p-6]&&!PrimeQ[p+6]&& !PrimeQ[p-8]&&!PrimeQ[p+8]&&!PrimeQ[p-10]&&!PrimeQ[p+10]&&!PrimeQ[p-12]&&!PrimeQ[p+12]&&!PrimeQ[p-14]&&!PrimeQ[p+14]&&!PrimeQ[p-16]&&!PrimeQ[p+16]&&!PrimeQ[p-18]&&!PrimeQ[p+18], AppendTo[lst,p]],{n,8!}];lst
Select[Partition[Prime[Range[5000]],3,1],Min[Differences[#]]>18&][[All,2]] (* Harvey P. Dale, Jul 08 2021 *)

{A000040(i) : A001223(i) > 18 and A001223(i-1) > 18}. - R. J. Mathar, Jul 27 2009

Definition rephrased by R. J. Mathar, Jul 27 2009

A163112 Prime numbers with gaps larger than 20 towards both neighboring primes.

Original entry on oeis.org

16033, 16787, 18013, 23719, 24281, 29101, 32749, 33247, 33679, 33997, 37747, 38501, 40063, 40387, 42533, 42611, 44417, 46957, 51109, 51383, 53479, 54217, 55291, 55763, 56333, 56569, 58271, 58511, 58831, 59833, 61441, 61781, 62273, 66137, 66271, 69593, 69623

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jul 20 2009

nonn

Subsequence of A163111.

Harvey P. Dale, Table of n, a(n) for n = 1..10000
Index entries for primes, gaps between

Cf. A137875, A137874, A137873, A137872, A137871, A163111.

p := 2; q := 3; r := 3; for n from 2 to 15000 do if q-p > 20 and r-q > 20 then printf("%d,",q) ; fi; p := q; q := r; r := nextprime(r) ; od: # R. J. Mathar, Jul 27 2009

Select[Partition[Prime[Range[7000]],3,1],Min[Differences[#]]>20&] [[All, 2]] (* Harvey P. Dale, Mar 16 2017 *)

{A000040(i) : A001223(i) > 20 and A001223(i-1) > 20}. - R. J. Mathar, Jul 27 2009

Definition rephrased by R. J. Mathar, Jul 27 2009

cp's OEIS Frontend

A163111 Prime numbers with gaps larger than 18 towards both neighboring primes.

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