A308596 a(n) is the product of the prime(n) smallest primes other than prime(n).

15, 70, 6006, 1385670, 674612557710, 1006366256282310, 6899316550553351234310, 29365306848773629524600810, 1033423560710676120463066852232970, 1090001884152331303039489872122195258388782310

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Formula

a(n) = prime(prime(n)+1)#/prime(n).

Example

  |    p =   |    a(n) = product of p smallest
n | prime(n) |            primes other than p
--+----------+--------------------------------------------
1 |     2    |      15 =     3 * 5
2 |     3    |      70 = 2     * 5 * 7
3 |     5    |    6006 = 2 * 3     * 7 * 11 * 13
4 |     7    | 1385670 = 2 * 3 * 5     * 11 * 13 * 17 * 19

Mathematica

Table[a[i]=Product[Prime[j], {j, 1, Prime[i]+1}]/Prime[i], {i, 10}]

Crossrefs

Cf. A002110, A306237.

Sequence in context: A343871 A000475 A253476 * A145053 A168298 A126274

Adjacent sequences: A308593 A308594 A308595 * A308597 A308598 A308599

Keyword

nonn

Author

Francesco Vissani, Jun 09 2019

Status

approved