A269420 -id:A269420 - cp's OEIS frontend

A269421 Primes 8k + 3 preceding the maximal gaps in A269420.

3, 19, 179, 379, 691, 1187, 1307, 4787, 15467, 22307, 43067, 83579, 273323, 373459, 1543291, 5364091, 5768803, 20941259, 137649667, 251522291, 369352163, 426008699, 938378747, 1042908091, 1378014731, 1878780427, 11474650339, 12402606331, 15931938899, 51025309339, 144309631099

Offset: 1

Alexei Kourbatov, Feb 25 2016

nonn

Subsequence of A007520.

A269420 lists the corresponding record gap sizes. See more comments there.

			The first two primes of the form 8k + 3 are 3 and 11, so a(1)=3. The next prime of this form is 19; the gap 19-11 is not a record so nothing is added to the sequence. The next prime of this form is 43 and the gap 43-19=24 is a new record, so a(2)=19.

Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Cf. A007520, A269420, A269422.

re=0; s=3; forprime(p=11, 1e8, if(p%8!=3, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

A269422 Primes 8k + 3 at the end of the maximal gaps in A269420.

Original entry on oeis.org

11, 43, 211, 419, 739, 1259, 1427, 4931, 15619, 22483, 43283, 83843, 273643, 373859, 1543811, 5364683, 5769403, 20942083, 137650523, 251523163, 369353099, 426009691, 938379811, 1042909163, 1378015843, 1878781763, 11474651731, 12402607739, 15931940483, 51025311059, 144309633179

Offset: 1

Alexei Kourbatov, Feb 25 2016

nonn

Subsequence of A007520.

A269420 lists the corresponding record gap sizes. See more comments there.

			The first two primes of the form 8k + 3 are 3 and 11, so a(1)=11. The next prime of this form is 19; the gap 19-11 is not a record so nothing is added to the sequence. The next prime of this form is 43 and the gap 43-19=24 is a new record, so a(2)=43.

Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Cf. A007520, A269420, A269421.

re=0; s=3; forprime(p=11, 1e8, if(p%8!=3, next); g=p-s; if(g>re, re=g; print1(p", ")); s=p)

cp's OEIS Frontend

A269421 Primes 8k + 3 preceding the maximal gaps in A269420.

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