A244273 First prime in set of 4 palindromic primes in arithmetic progression ordered by the largest term in the progression.

13931, 10301, 73637, 70607, 94049, 95959, 1120211, 1093901, 1003001, 1163611, 1150511, 1281821, 1262621, 1513151, 1022201, 1469641, 1114111, 1550551, 1820281, 1280821, 1245421, 1820281, 1250521, 1287821, 1609061, 1093901, 1600061, 1657561, 1654561, 1930391

Offset

1,1

Comments

This sequence is a subsequence of A002385, the palindromic primes.

The list is ordered based on the highest member of the arithmetic progression.

Some primes generate multiple progressions for different common differences.

References

Albert H. Beiler, Recreations in the Theory of Numbers, Second Edition, Dower Publications Inc, page 222.

Links

Abhiram R Devesh, Table of n, a(n) for n = 1..59

The Prime Glossary, Palindromic Primes

Example

a(2) =  p = 10301 is in the sequence because with a distance of d = 3030, [p, p + d, p + 2d, p + 3d] = [10301, 13331, 16361, 19391] all are in arithmetic progression and are palindromic.

Crossrefs

Cf. A002385.

Sequence in context: A298428 A252557 A237571 * A118464 A031666 A031819

Adjacent sequences: A244270 A244271 A244272 * A244274 A244275 A244276

Keyword

nonn,base

Author

Abhiram R Devesh, Jun 24 2014

Status

approved