A080077 Smallest prime p such that between p and the next prime for every k = 1, ..., n there is a number m_k whose smallest prime factor is prime(k).

3, 7, 23, 89, 113, 1327, 1327, 1327, 1327, 35677, 35677, 343831, 343831, 4554227, 9550813, 22975847, 22975847, 55761227, 72546143, 72546143, 367876529, 367876529, 367876529, 7966080037, 13276722743, 13600393519, 13600393519

Offset

1,1

Links

Table of n, a(n) for n=1..27.

Example

a(1) = 3 since between 3 and 5 we have 4 = 2*2; a(3) = 23 since between 23 and 29 we have 24 = 2*2*2*3, 27 = 3*3*3 and 25 = 5*5; a(5) = 113 since between 113 and 127 we have 114 = 2*3*19, 117 = 3*3*13, 115 = 5*23, 119 = 7*17, 121 = 11*11.

Crossrefs

Sequence in context: A080355 A366694 A100964 * A096318 A299404 A268140

Adjacent sequences: A080074 A080075 A080076 * A080078 A080079 A080080

Keyword

nonn

Author

Klaus Brockhaus, Jan 25 2003

Extensions

More terms from Bernardo Boncompagni Jul 21 2004

Status

approved