A101511 The first 2 digits of the sequence form a prime number (23), the next 3 digits form a prime number (457), the next 4 also (8923), the next 5 also (24373), the next 7 also (8394151), the next 8 also (52535471), etc., with a(n) < a(n+1).

2, 3, 4, 5, 7, 8, 9, 23, 24, 37, 38, 39, 41, 51, 52, 53, 54, 71, 72, 73, 74, 75, 78, 91, 93, 97, 98, 111, 131, 132, 139, 149, 151, 154, 173, 174, 175, 178, 191, 193, 211, 213, 215, 217, 231, 232, 311, 312, 323

Offset

2,1

Comments

Primes involved are 23, 457, 8923, 24373, 8394151, 52535471, 727374757, 89, 193, 97, 9811, 113, 1132139, 149, 15115417, 317, 417517819, 1193, 2, 11213, 2, 15217, 23, 12323, 113, 12323; the number of digits of each prime, here, give the digits of exactly the sequence above: 2 3 4 5 7 8 9 2 3 2 4 3 7 3 8 3 9 4 1 5 1 5 2 5 3 5 ... The first available primes were chosen and chunked so as to force [a(n+1) - a(n)] to be minimal.

Links

Table of n, a(n) for n=2..50.

Robert Mrozek, Prime generator

Crossrefs

Sequence in context: A039124 A335650 A056759 * A111747 A257594 A101545

Adjacent sequences: A101508 A101509 A101510 * A101512 A101513 A101514

Keyword

base,easy,nonn

Author

Eric Angelini, Jan 25 2005

Status

approved