

A188366


Values of c such that (c+9*b)*Prime(n)#1 is the least prime such that (c+k*b)*Prime(n)#1 is prime for k=0 to 9 with c+9*b < Prime(n)# , or 0 if no solution. Prime(n)#=nth primorial


2



0, 0, 0, 0, 0, 653, 1542, 2035, 2460, 7473, 654, 7394, 7479, 69698, 4646, 25205, 122774, 42953, 444644, 38761, 545933, 83675, 212892, 87123, 106714, 50427, 747235, 1737780, 2371271, 1807313
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,6


COMMENTS

b=A188367(n), c*Prime(n)#1 is the first of an arithmetic progression of 10 primes or more.
I use PFGW program from primeform group to generate the primes and my own sieve to find the least sum c+9*b for an arithmetic progression of at least 10 primes, all primes are certified primes by PFGW program.


LINKS



EXAMPLE

13#=30030, 30030*6531=19609589 , 289*30030=8678670
196095899+k*8678670 is prime for k=0 to 9 for n=6 c=653
and b=289


CROSSREFS



KEYWORD

nonn,hard


AUTHOR



EXTENSIONS

More terms from Pierre CAMI


STATUS

approved



