Seven primes associated (Puzzle 348 revisited)
we asked to get examples larger and larger as the following one:
Given three consecutive primes (p1, p2, p3) as (41,
43 47) the following four are primes too:
a) p4 = p1&p2&p3 = 414347
b) p5 = p1+p2+p3 = 41+43+47 = 131
d) p6 = sum of trios of digits in p4 = 414+347 = 761
e) p7 = sum of digits in p4 = 4+1+4+3+4+7 = 23
Carlos Rivera contributed to the
puzzle 348 with and example such
that p1 is of 43 digits.
Recently he got a larger example such that p1 is of
200 digits, p1=10^199+153480417.
Q1. Can you find larger examples?