A098078 Table(n,j) of primes p = k*prime(n)#/210-j, where k is the least integer such that p and p+8 are consecutive primes, for n > 4 and j=7 to 1.

389, 401, 479, 359, 701, 449, 1979, 8573, 6143, 13151, 5573, 16871, 1571, 4289, 72923, 12149, 432713, 444869, 209063, 221219, 495923, 2771333, 6050753, 3787493, 7621181, 2586581, 3094661, 20785049, 478056143, 103047653, 333576953

Offset

5,1

Comments

In the definition, "prime(n)#" denotes the primorial A002110(n).

This is a table with 7 columns, numbered j=7,6,...,1, in each row.

All terms are a(n)==5 (mod 6). - M. F. Hasler, Feb 13 2013

Links

Table of n, a(n) for n=5..35.

Example

For n = 5, P(5)#/210 = 11,
36*11 - 7 = 389; 389 and 397 consecutive primes with gap of 8.
37*11 - 6 = 401; 401 and 409 consecutive primes with gap of 8.
44*11 - 5 = 479; 479 and 487 consecutive primes with gap of 8.
33*11 - 4 = 359; 359 and 367 consecutive primes with gap of 8.
64*11 - 3 = 701; 701 and 709 consecutive primes with gap of 8.
41*11 - 2 = 449; 449 and 457 consecutive primes with gap of 8.
180*11 - 1 = 1979; 1979 and 1987 consecutive primes with gap of 8.

Prog

(PARI) A098078(n, j)=forstep(p=-j, 1<<99, prod(i=1, n, prime(i))/210, p%6==5 & nextprime(p+2)-p==8 & isprime(p) & return(p)) \\ - M. F. Hasler, Feb 13 2013

Crossrefs

Cf. A098079.

Sequence in context: A200970 A104999 A139660 * A160030 A006476 A282381

Adjacent sequences: A098075 A098076 A098077 * A098079 A098080 A098081

Keyword

nonn,less,tabf

Author

Pierre CAMI, Sep 13 2004

Extensions

Edited and corrected a(34) and a(35), following an observation by Charles R Greathouse IV, by M. F. Hasler, Feb 13 2013

Status

approved