A114741 a(1) = 2, a(2) = 3, a(n+1) = least prime of the form k*(a(n-1)) - a(n) not included earlier.

2, 3, 5, 7, 13, 29, 23, 151, 79, 223, 251, 641, 1367, 3761, 4441, 78301, 1637, 311567, 6011, 8094731, 32141, 161862479, 321007, 2589478657, 1047833, 46609567993, 52531163, 10813367243213, 803034293, 151386338370689, 17747231531

Offset

1,1

Comments

Only positive primes are allowed. The alternation between larger and smaller values that develops at n=16 is interesting. It is not clear whether it continues indefinitely. - Franklin T. Adams-Watters, Jul 17 2006

Links

Table of n, a(n) for n=1..31.

Crossrefs

Cf. A114742.

Sequence in context: A135372 A037021 A359505 * A096177 A075238 A346408

Adjacent sequences: A114738 A114739 A114740 * A114742 A114743 A114744

Keyword

nonn

Author

Amarnath Murthy, Nov 15 2005

Extensions

More terms from Franklin T. Adams-Watters, Jul 17 2006

Status

approved