A073900 a(1) = 1; then k-th prime prime(k) followed by Floor[e^k] consecutive composite numbers not occurring earlier.

1, 2, 4, 6, 3, 8, 9, 10, 12, 14, 15, 16, 5, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 7, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92

Offset

1,2

Comments

Primes grow faster than composites. Question: For what (the smallest) value of m a(m) is prime and more than the previous term which is obviously composite.?

Links

Table of n, a(n) for n=1..72.

Example

a(2) =2 and Floor[e] = 2 hence a(3) and a(4) are 4 and 6 respectively. a(5) = 3 (the second prime) and Floor[e^2]=7, hence next 7 terms are 8,9,10,12,14,15 and 16.

Crossrefs

Cf. A073899.

Sequence in context: A073899 A232846 A101543 * A361629 A350033 A351625

Adjacent sequences: A073897 A073898 A073899 * A073901 A073902 A073903

Keyword

nonn

Author

Amarnath Murthy, Aug 18 2002

Extensions

Edited by T. D. Noe, Apr 13 2009

Status

approved