login
A287550
Initial prime in set of 4 consecutive primes in arithmetic progression with difference 72.
2
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
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
KEYWORD
nonn
AUTHOR
Zak Seidov, May 26 2017
EXTENSIONS
a(8)-a(21) from Chai Wah Wu, Jun 03 2017
STATUS
approved