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A246471 First of the least n primes that are also consecutive terms of A005117 (squarefree numbers). 2
2, 2, 2, 4058471, 462807341 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
a(6) > 10^11.
a(6) <= 10211143417747. - Jens Kruse Andersen, Sep 09 2014
If the k-tuple conjecture is true then a(n) always exists. Weak upper bounds are
a(7) <= 105629504093565907896809
a(8) <= 9921941384213872059341198331469403
a(9) <= 376847848512740851019714299079899219399
a(10) <= 32108207632017215023964871615662539298039357
- Jens Kruse Andersen, Sep 10 2014
LINKS
EXAMPLE
Trivially, primes 2, 3, and 5 are consecutive squarefree numbers so a(1)-a(3) are each 2.
4058471, 4058473, 4058477, and 4058479 are the least 4 primes that are also consecutive squarefree numbers (4058472 = 2^3*3*11*15373, 4058474 = 2*7^2*41413, 4058475 = 3*5^2*53*1021, 4058476 = 2^2*19*53401, and 4058478 = 2*3^3*17*4421) so a(4) = 4058471.
CROSSREFS
Cf. A005117; a(3) is first term in A242621; a(4) is first term in A246470; a(5) is first term in A246548.
Sequence in context: A280842 A244442 A338700 * A289814 A328686 A330622
KEYWORD
nonn,hard,more
AUTHOR
Hans Havermann, Aug 27 2014
STATUS
approved

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Last modified March 2 23:50 EST 2024. Contains 370499 sequences. (Running on oeis4.)