

A293791


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


0




OFFSET

1,1


COMMENTS

A052243(20) = 9843019 and A052243(21) = 9843049 are the first two primes in the smallest 5tuple with difference 30 reported by Lander and Parkin in 1967. The much larger 5tuple 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 (CPAP5). 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) NumberTheoretic Preliminaries. In: Primality Testing and Integer Factorization in PublicKey Cryptography. Advances in Information Security, vol 11. Springer, Boston, MA.


LINKS

Table of n, a(n) for n=1..5.
M. F. Jones, M. Lal and W. J. Blundon, Statistics on certain large primes, Math. Comp., 21:97 (1967) 103107.
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.
Sequence in context: A017518 A017650 A244450 * A208363 A261458 A296158
Adjacent sequences: A293788 A293789 A293790 * A293792 A293793 A293794


KEYWORD

nonn,full,fini,less


AUTHOR

Frank Ellermann, Oct 16 2017


STATUS

approved



