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Search: id:A087978
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A087978 a(n) is the first term in a chain of at least n consecutive numbers, each has exactly m=5(five) distinct prime factor. +0
5
2310, 254540, 1042404, 21871365, 129963314, 830692265, 4617927894, 18297409143, 41268813542, 287980277114, 1182325618032, 6455097761454 (list; graph; listen)
OFFSET

1,1

REFERENCES

Roger B. Eggleton and James A. MacDougall, Consecutive integers with equally many principal divisors, Math. Mag. 81 (2008), 235-248. [From T. D. Noe (noe(AT)sspectra.com), Oct 13 2008]

MATHEMATICA

k=1; Do[While[Union[Table[Length[FactorInteger[i]], {i, k, k+n-1}]]!={5}, k++ ]; Print[k], {n, 1, 8}]

CROSSREFS

Cf. A080569[m=3], A064708[m=2], A087977[m=4], A087978[m=5].

Cf. A138206, A138207, A154573. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 15 2009]

Sequence in context: A147572 A046303 A046403 this_sequence A020435 A035893 A035771

Adjacent sequences: A087975 A087976 A087977 this_sequence A087979 A087980 A087981

KEYWORD

more,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 26 2003

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), Sep 29 2003

4 more terms from Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 06 2008

a(11)-a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 15 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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