|
| |
|
|
A062529
|
|
Smallest prime p such that there is a gap of 2^n between p and the next prime.
|
|
4
| |
|
|
2, 3, 7, 89, 1831, 5591, 89689, 3851459, 1872851947, 1999066711391, 22790428875364879
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| a(2)=7 because 7 and 11 are consecutive primes with difference 4.
|
|
|
LINKS
| C. Hilliard, TwinPrimes Java code.
Thomas R. Nicely, First occurrence prime gaps.
|
|
|
FORMULA
| a(n)=A000230[2^(n-1)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 12 2007
a(n) = A000230[2^(n-1)] = Min{p|nextprime(p)-p = 2^n} [May need adjusting since offset has been changed]
|
|
|
EXAMPLE
| p=89, 89+2^3 = 97, prime
|
|
|
MATHEMATICA
| f[n_] := Block[{k = 1}, While[Prime[k + 1] != n + Prime[k], k++ ]; Prime[k]]; Do[ Print[ f[2^n]], {n, 0, 10}] (Robert G. Wilson v, Jan 13 2005)
|
|
|
CROSSREFS
| Cf. A000230, A062530, A101232.
Sequence in context: A065002 A053964 A062578 * A058443 A163152 A088120
Adjacent sequences: A062526 A062527 A062528 * A062530 A062531 A062532
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jun 25 2001
|
|
|
EXTENSIONS
| a(10) sent by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 13 2005
|
| |
|
|
