A235680 The smallest first term of a sequence of n primes such that, after the first, each is equal to the previous prime plus the sum of all of its digits, plus the product of all of its nonzero digits.

2, 191, 163, 151, 127, 1644997, 36778597, 935715673, 50682890749, 16390560362269, 63334172492839

Offset: 1

Author

Carlos Rivera, Jan 13 2014

Keywords

• nonn
• hard
• more
• base

Comments

The following term produced in each sequence after the n-th is necessarily a composite integer.

Examples

			Example for n=8: a(8)=935715673 because after it the seven primes are 936311069, 936337351, 936490481, 936677149, 938391809, 938811763 and 939029537, with 936311069 = 935715673 + 9*3*5*7*1*5*6*7*3+(9+3+5+7+1+5+6+7+3) and so on...
		

Links

• C. Rivera, Puzzle 727. Extending the OEIS sequence A235680

Crossrefs

Cf. A233692, A233783, A090009.

Extensions

a(9) from Giovanni Resta, Jan 13 2014

a(10)-a(11) from Giovanni Resta, Feb 22 2014