A131102 Prime numbers arising from A131101.

2, 5, 7, 11, 23, 47, 37, 59, 41, 43, 47, 83, 107, 73, 83, 89, 97, 167, 179, 227, 139, 137, 151, 263, 151, 167, 157, 197, 347, 193, 359, 223, 383, 229, 241, 467, 479, 257, 293, 503, 281, 307, 283, 307, 317, 563, 313, 313, 587, 331, 349, 349, 367, 367, 419, 719

Offset

1,1

Comments

The Safe Primes (A005385) are part of this sequence because they are the result of adding A005384(n) (Sophie Germain primes) to its only prime factor (itself) + 1 = 2*A005384 + 1 .

Links

Table of n, a(n) for n=1..56.

Formula

A131101(n) + prime factors of A131101(n) + 1 = a(n) ; a(n) is a prime number.

Example

a(8)=59 because 59 = A131101(8)+ prime factors of A131101(8) +1 = 29+ (29) +1.
a(9)=41 because A131101(9)+ prime factors of A131101(8) + 1 = 30 +(2+3+5)+1.

Crossrefs

Cf. A131101, A005384, A005385.

Sequence in context: A172981 A141064 A344990 * A235468 A229209 A227613

Adjacent sequences: A131099 A131100 A131101 * A131103 A131104 A131105

Keyword

easy,nonn

Author

Tomas Xordan, Jun 14 2007

Status

approved