A051452 a(n) = 1 + lcm(1..k) where k is the n-th prime power A000961(n).

2, 3, 7, 13, 61, 421, 841, 2521, 27721, 360361, 720721, 12252241, 232792561, 5354228881, 26771144401, 80313433201, 2329089562801, 72201776446801, 144403552893601, 5342931457063201, 219060189739591201

Offset

1,1

Comments

From Daniel Forgues, Apr 27 2014: (Start)

Factorizations:

2, 3, 7, 13, 61, 421 are primes;

841 = 29^2;

2521 is prime;

27721 = 19*1459, 360361 = 89*4049, 720721 = 71*10151,

12252241 = 1693*7237;

232792561 is prime;

5354228881 = 6659*804059;

26771144401 is prime;

80313433201 = 331*11239*21589, 2329089562801 = 101*271*2311*36821;

72201776446801 is prime.

Very likely contains an infinite number of primes (see A049536). (End)

Links

Table of n, a(n) for n=1..21.

Prog

(PARI) print1(2); t=1; for(n=2, 100, if(t%n, t=lcm(t, n); print1(", "t+1))) \\ Charles R Greathouse IV, Jan 04 2013

Crossrefs

1 + A003418(A000961(n)), corresponds to distinct values of 1 + A003418.

Cf. A049536, A049537, A051454, A208768.

Sequence in context: A089136 A092965 A051454 * A058017 A049536 A065508

Adjacent sequences: A051449 A051450 A051451 * A051453 A051454 A051455

Keyword

nonn

Author

Labos Elemer

Status

approved