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A293791 Prime 5-tuple 10000024493 + K * 30 for K = 0 to 4. 0
10000024493, 10000024523, 10000024553, 10000024583, 10000024613 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

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) 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.

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

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)