A336967 -id:A336967 - cp's OEIS frontend

A336968 Prime starting a sequence of 22 consecutive primes with symmetrical gaps about the center.

633925574060671, 2235053194261739, 3693434256575461, 6244996197964523, 7312449941282693, 11768508587048027, 12241378636561883, 12696156429346387, 13388148635660387, 14052415423668901, 18620445306703861, 19802687937976219, 22930603692243341, 23122811970297833

Offset: 1

Tomáš Brada, Aug 09 2020

nonn

Tomáš Brada, Table of n, a(n) for n = 1..345
Tomáš Brada, Natalia Makarova, Symmetric Prime Tuples project
Natalia Makarova, About Stop@home project
Natalia Makarova and Carlos Rivera, Problem 62. Symmetric k-tuples of consecutive primes, The Prime Puzzles and Problems Connection.

Cf. A000040, A055381, A055382, A064101, A081235, A175309, A333977, A335044, A335394, A336967, A359440.

Primes p = prime(k) = A000040(k) such that A359440(k+10) >= 10. - Peter Munn, Jan 09 2023

A338052 a(n) = A337645(n-1) - n.

Original entry on oeis.org

0, 3, 6, 5, 4, 3, 2, 1, 0, 7, 8, 7, 6, 5, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, 0, -1, -2, -3, 4, 3, 2, 1, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -14, -15, -16, -17, -6, -7, -8, -9, -4, -5, -6, -7, -2, -3, -4, -5, 2, 1, 0

Offset: 2

Scott R. Shannon and N. J. A. Sloane, Oct 11 2020

sign

Motivation: This is (smallest missing legal number in A336967) - n. For when we are trying to find A336957(n), the smallest legal possibility is A337645(n-1), which appears to grow like n.

However, the conclusion from looking at the graph of the present sequence is that A337645(n) ~ n*(1 - 1/50) or perhaps n*(1 - c/log n) would be a better approximation to A337645.

N. J. A. Sloane, Table of n, a(n) for n = 2..20001

A333977 Prime starting a sequence of 20 consecutive primes with symmetrical gaps about the center.

Original entry on oeis.org

1797595814863, 2375065608481, 4465545586753, 21818228348093, 67696772430071, 82116093014611, 155947272322087, 161980267642951, 169560139541641, 202619277419161, 285719200081877, 299828814652799, 314942862282899, 365706921997577

Offset: 1

Tomáš Brada, Sep 20 2020

nonn

Tomáš Brada, Natalia Makarova, Symmetric Prime Tuples project
Natalia Makarova, About Stop@home project
Natalia Makarova and Carlos Rivera, Problem 62. Symmetric k-tuples of consecutive primes, The Prime Puzzles and Problems Connection.

Cf. A000040, A055381, A055382, A064101, A081235, A175309, A335044, A335394, A336967, A336968, A359440.

Primes p = prime(k) = A000040(k) such that A359440(k+9) >= 9. - Peter Munn, Jan 09 2023

cp's OEIS Frontend

A336968 Prime starting a sequence of 22 consecutive primes with symmetrical gaps about the center.

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A338052 a(n) = A337645(n-1) - n.

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A333977 Prime starting a sequence of 20 consecutive primes with symmetrical gaps about the center.

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Author

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