|
Search: id:A005265
|
|
|
| A005265 |
|
a(1)=3, b(n)=Product_{k=1..n} a(k), a(n+1)=smallest prime factor of b(n)-1.
(Formerly M2246)
|
|
+0
41
|
|
| 3, 2, 5, 29, 11, 7, 13, 37, 32222189, 131, 136013303998782209, 31, 197, 19, 157, 17, 8609, 1831129, 35977, 508326079288931, 487, 10253, 1390043, 18122659735201507243, 25319167, 9512386441, 85577, 1031, 3650460767, 107, 41, 811, 15787, 89, 68168743, 4583, 239, 1283, 443, 902404933, 64775657, 2753, 23, 149287, 149749, 7895159, 79, 43, 1409, 184274081, 47, 569, 63843643
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Suggested by Euclid's proof that there are infinitely many primes.
|
|
REFERENCES
|
R. K. Guy and R. Nowakowski, ``Discovering primes with Euclid,'' Delta (Waukesha), Vol. 5, pp. 49-63, 1975.
S. S. Wagstaff, Jr., Computing Euclid's primes, Bull. Institute Combin. Applications, 8 (1993), 23-32.
|
|
LINKS
|
Sean A. Irvine (sairvin(AT)xtra.co.nz) added terms 54 through 61, May 21 2006, giving Table of n, a(n) for n = 1..61
|
|
CROSSREFS
|
Cf. A000945, A000946, A005266, A084599.
Essentially the same as A084598.
Sequence in context: A077039 A103938 A085973 this_sequence A005266 A005267 A016460
Adjacent sequences: A005262 A005263 A005264 this_sequence A005266 A005267 A005268
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
