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

1,1

Comments

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

Links

Table of n, a(n) for n=1..11.

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

Example

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...

Crossrefs

Cf. A233692, A233783, A090009.

Sequence in context: A172801 A318195 A307587 * A085937 A142890 A201183

Adjacent sequences: A235677 A235678 A235679 * A235681 A235682 A235683

Keyword

nonn,hard,more,base

Author

Carlos Rivera, Jan 13 2014

Extensions

a(9) from Giovanni Resta, Jan 13 2014

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

Status

approved