A104228 -id:A104228 - cp's OEIS frontend

A104227 Primes one less than the sum over a sexy prime pair.

19, 31, 67, 79, 127, 139, 151, 199, 211, 307, 547, 619, 739, 751, 919, 1087, 1231, 1459, 1471, 1759, 1987, 2131, 2179, 2239, 2251, 2467, 2647, 2851, 2971, 3319, 3331, 3391, 3499, 3511, 3559, 3571, 3727, 3739, 4027, 4567, 4759, 5107, 5347, 5419, 5431, 6367, 6607, 6619, 7027, 7219, 7459

Offset: 1

Giovanni Teofilatto, Apr 02 2005

Primes of the form A023201(i)+A046117(i)-1 or of the form 2*A087695(j)-1.

			19=7+13-1 is a prime and one less than the sum 7+13 over the second sexy prime pair.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A023201, A046117, A104228, A104229.

Select[2#+5&/@Select[Prime[Range[600]],PrimeQ[#+6]&],PrimeQ] (* Harvey P. Dale, Jan 04 2020 *)

Corrected definition. Extended beyond a(7). - R. J. Mathar, Nov 26 2008

A104229 Primes equal to the product of two successive sexy primes plus 6.

Original entry on oeis.org

61, 97, 193, 397, 673, 1153, 1597, 1933, 4093, 7393, 12097, 37633, 64513, 70753, 96097, 122497, 126733, 136897, 190093, 211597, 256033, 313597, 329473, 348097, 430333, 541693, 781453, 891133, 988033, 1267873, 1416097, 1674433, 2102497

Offset: 1

Giovanni Teofilatto, Apr 02 2005

Primes of the form 6 + A111192(i). - R. J. Mathar, Nov 26 2008

All numbers in this sequence are of the form 12n + 1. Also, as one would expect from a random distribution of sexy prime pairs, with the exception of 61, in decimal two thirds of these numbers end in 3, and the other third end in 7. - Daniel Mondot, Apr 29 2024

Daniel Mondot, Table of n, a(n) for n = 1..10000

Cf. A023201, A046117, A104227, A104228, A111192.

Extended by R. J. Mathar, Nov 26 2008

A104043 Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.

Original entry on oeis.org

17, 41, 53, 101, 173, 353, 461, 1013, 1181, 1301, 1361, 1901, 2441, 4001, 4133, 4673, 4793, 5381, 5393, 5801, 6653, 10601, 11801, 12101, 12641, 12653, 15641, 15761, 16481, 19073, 21221, 23561, 23813, 23873, 25301, 25793, 25841, 25913, 26921

Offset: 1

Giovanni Teofilatto, Mar 31 2005

Cf. A023201, A046117.

A104228 INTERSECT A023201. [From R. J. Mathar, Nov 26 2008]

Removed 31 and extended by R. J. Mathar, Nov 26 2008

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A104227 Primes one less than the sum over a sexy prime pair.

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A104229 Primes equal to the product of two successive sexy primes plus 6.

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A104043 Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.

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