A279062 Initial terms of the arithmetic progressions in A278735.

3, 3, 5, 353, 13297, 1561423, 291461857

Offset: 1

Author

Bobby Jacobs, Dec 05 2016

Keywords

• nonn
• hard
• more

Comments

The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.

Examples

			a(4) = 353 because 353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)), and 431-353 = 509-431 = 587-509 = 78.
The corresponding arithmetic progressions are
3;
3, 5;
5, 11, 17;
353, 431, 509, 587;
13297, 21937, 30577, 39217, 47857;
1561423, 2716423, 3871423, 5026423, 6181423, 7336423;
...
		

Crossrefs

Left border of A279021.

Cf. A006450, A113827, A142160, A274825, A278735.

Extensions

a(7) from Charles R Greathouse IV, Dec 27 2016