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A034173 a(n) is minimal such that prime factorizations of a(n), ..., a(n)+n-1 have same exponents. +0
8
1, 2, 33, 19940, 204323, 380480345, 440738966073 (list; graph; listen)
OFFSET

1,2

COMMENT

a(7) <= 1091100709673

a(7) <= 464881210073. - David Wasserman (dwasserm(AT)earthlink.net), Jan 08 2006

a(8) > 10^13. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 20 2009]

FORMULA

a(n) = A034174(n) - n + 1. [From Max Alekseyev (maxale(AT)gmail.com), Nov 10 2009]

EXAMPLE

a(4)=19940 because 19940, ..., 19943 all have the form p^2 q r.

CROSSREFS

Cf. A034174.

Cf. A006558, A083790.

Sequence in context: A113105 A132567 A083459 this_sequence A132519 A117969 A003820

Adjacent sequences: A034170 A034171 A034172 this_sequence A034174 A034175 A034176

KEYWORD

hard,nonn,new

AUTHOR

Dean Hickerson (dean.hickerson(AT)yahoo.com), Oct 01 1998

EXTENSIONS

a(7) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 20 2009

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.


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