

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.


1



2, 191, 163, 151, 127, 1644997, 36778597, 935715673, 50682890749, 16390560362269, 63334172492839
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

The following term produced in each sequence after the nth 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



