A293791 Prime 5-tuple 10000024493 + K * 30 for K = 0 to 4.

10000024493, 10000024523, 10000024553, 10000024583, 10000024613

Offset: 1

Author

Frank Ellermann, Oct 16 2017

Keywords

• nonn
• full
• fini
• less

Comments

A052243(20) = 9843019 and A052243(21) = 9843049 are the first two primes in the smallest 5-tuple with difference 30 reported by Lander and Parkin in 1967. The much larger 5-tuple beginning with 10000024493 was reported by Jones, Lal and Blundon in the same year.

Sequence A059044 lists the quintuplets of consecutive primes in arithmetic progression (CPAP-5). A059044(9) ~ 10^8, A059044(86) ~ 10^9. a(1) ~ 10^10 might occur in that sequence around index n = 1000. - M. F. Hasler, Oct 28 2018

References

• Yan S.Y. (2009) Number-Theoretic Preliminaries. In: Primality Testing and Integer Factorization in Public-Key Cryptography. Advances in Information Security, vol 11. Springer, Boston, MA.

Links

• M. F. Jones, M. Lal and W. J. Blundon, Statistics on certain large primes, Math. Comp., 21:97 (1967) 103--107.
• L. J. Lander and T. R. Parkin, Consecutive primes in arithmetic progression, Math. Comp., 21 (1967) 489.
• Index entries for sequences related to primes in arithmetic progressions.

Crossrefs

Cf. A052243, A033290.