A203015 Primes p such that p + 1 or p - 1 is in A066120.

2, 3, 23, 8641, 653184001, 1601591599167888308924824752807936000000000000001

Offset: 1

Author

Arkadiusz Wesolowski, Jan 06 2012

Keywords

• hard
• nonn

Comments

What is the next prime? As of January 2012, there are no known primes ending in 9 with this property.

Examples

			A002110(1)^3*A002110(2)^2*A002110(3) + 1 = 8641, which is prime.
		

Links

• G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 8641

Crossrefs

Cf. A066120, A002110.

Programs

Mathematica

Select[Flatten[Table[Product[Product[Product[Prime[i], {i, j}], {j, k}], {k, n}] - 1 + m, {n, 0, 7}, {m, 0, 2, 2}]], PrimeQ]

Formula

a(n) are the prime values of p(0)# * (p(0)# * p(1)#) * (p(0)# * p(1)# * p(2)#) * (p(0)# * p(1)# * p(2)# * ... * p(n)#) +/- 1.