

A093552


a(n) is the smallest number m such that mk is product of k+1 primes for k=0,1,2,...,n.


6




OFFSET

0,1


COMMENTS

Each term of this sequence is prime.


LINKS

Table of n, a(n) for n=0..8.


EXAMPLE

a(5)=392279 because:
392279 is prime;
3922791 = 2*196139;
3922792 = 3*229*571;
3922793 = 2*2*281*349;
3922794 = 5*5*13*17*71;
3922795 = 2*3*3*19*31*37;
392279 is the smallest number m such that mk is product of k+1 primes for k=0,1,2,3,4 & 5.


MATHEMATICA

Table[m = 1; While[Table[Plus @@ Last /@ FactorInteger[Prime[m]  k], {k, 0, n}] != Range[1, n + 1], m++]; Prime[m], {n, 0, 5}] (* Robert Price, Jun 09 2019 *)


CROSSREFS

Cf. A072664, A072875, A086560.
Sequence in context: A041729 A078665 A163666 * A060808 A099658 A244014
Adjacent sequences: A093549 A093550 A093551 * A093553 A093554 A093555


KEYWORD

nonn,more


AUTHOR

Farideh Firoozbakht, Apr 14 2004


EXTENSIONS

a(6) corrected by Mike Oakes, Jun 20 2012
a(7) from Zak Seidov, Apr 23 2017
a(8) from Giovanni Resta, Apr 27 2017


STATUS

approved



