A287550 Initial prime in set of 4 consecutive primes in arithmetic progression with difference 72.

491525857, 1470227987, 2834347387, 4314407477, 4766711387, 6401372837, 6871241197, 8971400797, 10168905497, 11776429517, 11871902557, 14538547967, 14925896087, 15218517367, 15646776877, 15875854927, 17310026197, 17942416307, 18347931587, 19241492057, 19379888947

Offset

1,1

Comments

a(1)=491525857=A052239(12).

Links

Chai Wah Wu, Table of n, a(n) for n = 1..100

Prog

(Python)
from gmpy2 import is_prime, next_prime
A287550_list, p = [], 2
q, r, s = p+72, p+144, p+216
while s <= 10**10:
    np = next_prime(p)
    if np == q and is_prime(r) and is_prime(s) and next_prime(q) == r and next_prime(r) == s:
        A287550_list.append(p)
    p, q, r, s = np, np+72, np+144, np+216 # Chai Wah Wu, Jun 03 2017

Crossrefs

Analogous sequences [with common difference in square brackets]: A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30], A058252 [36], A058323 [42], A067388 [48], A259224 [54], A210683 [60]. Cf. A052239.

Sequence in context: A233840 A203671 A251307 * A216011 A101641 A227798

Adjacent sequences: A287547 A287548 A287549 * A287551 A287552 A287553

Keyword

nonn

Author

Zak Seidov, May 26 2017

Extensions

a(8)-a(21) from Chai Wah Wu, Jun 03 2017

Status

approved