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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

Table of n, a(n) for n=1..5.

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: A186069 A280842 A244442 * A079243 A289814 A304760

Adjacent sequences:  A246468 A246469 A246470 * A246472 A246473 A246474

KEYWORD

nonn,hard,more

AUTHOR

Hans Havermann, Aug 27 2014

STATUS

approved

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Last modified April 24 18:03 EDT 2019. Contains 322430 sequences. (Running on oeis4.)