A081947 Smallest prime which is one more than the product of n distinct numbers.

2, 3, 7, 31, 181, 1009, 6481, 45361, 453601, 3991681, 39916801, 566092801, 9500198401, 105859353601, 1681295616001, 24845812992001, 460301377536001, 8109673360588801, 147254595231744001, 2688996956405760001, 55956746188062720001, 1338096104497152000001

Offset

1,1

Links

Table of n, a(n) for n=1..22.

Example

a(5) = 181 = 1*2*3*5*6 + 1.
a(14) = 105859353601 = 1*2*3*4*5*6*7*8*9*10*11*12*13*17 + 1. - Sean A. Irvine, Nov 18 2025

Crossrefs

Cf. A046972.

Sequence in context: A239892 A267487 A343733 * A046972 A006862 A038710

Adjacent sequences: A081944 A081945 A081946 * A081948 A081949 A081950

Keyword

nonn

Author

Amarnath Murthy, Apr 02 2003

Extensions

More terms from Sam Alexander, Oct 20 2003

Corrected and extended by David Wasserman, Jul 20 2004

a(14) onward corrected and extended by Sean A. Irvine, Nov 18 2025

Status

approved