A351662 Initial primes of four consecutive primes with consecutive gaps 10, 20, 30.

216421, 393301, 588673, 601687, 627481, 752023, 776257, 801187, 842521, 846427, 892159, 970573, 976117, 1036153, 1100581, 1238833, 1445341, 1713853, 1848337, 2054761, 2134519, 2217349, 2229991, 2276107, 2287861, 2299327, 2303377, 2768341, 2933083, 3091027

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Example

601687, 601697, 601717, and 601747 are four consecutive primes and the gaps between them are 10, 20, and 30.

Mathematica

Prime[SequencePosition[Differences[Prime[Range[250000]]], {10, 20, 30}][[All, 1]]]

Prog

(Python)
from sympy import nextprime
from itertools import islice
def agen(): # generator of terms
    p, q, r, s = 2, 3, 5, 7
    while True:
        if q-p == 10 and r-q == 20 and s-r == 30:
            yield p
        p, q, r, s = q, r, s, nextprime(s)
print(list(islice(agen(), 30))) # Michael S. Branicky, Feb 19 2022

Crossrefs

Cf. A190814, A190792, A190817, A190819, A190838.

Sequence in context: A205924 A203730 A273219 * A251804 A184668 A077640

Adjacent sequences: A351659 A351660 A351661 * A351663 A351664 A351665

Keyword

nonn

Author

Harvey P. Dale, Feb 19 2022

Status

approved