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A074254 Composite numbers equal to the sum of the square-free numbers from their smallest prime factor to their largest prime factor. +0
1
10, 21, 44, 3317, 200632, 1110101, 975558109 (list; graph; listen)
OFFSET

1,1

COMMENT

The next term is greater than 4*10^9. - Robert Gerbicz (robert.gerbicz(AT)gmail.com), Jun 09 2007

EXAMPLE

44 = 2^2*11 = 2+3+5+6+7+10+11.

PROGRAM

(PARI) a=vector(10^5); a[1]=1; for(n=2, 10^5, a[n]=a[n-1]+n*abs(moebius(n))); forprime(p=2, 10^5, forprime(q=p+1, 10^5, n=a[q]-a[p-1]; if((n%q==0)&&(n%p==0), k=n/(p*q); u=factor(k); w=matsize(u); if((w[1]==0)||(u[1, 1]>=p)&&(u[w[1], 1]<=q), print(n))))) - Robert Gerbicz (robert.gerbicz(AT)gmail.com), Jun 09 2007

CROSSREFS

Sequence in context: A095824 A086225 A014007 this_sequence A122963 A067520 A042309

Adjacent sequences: A074251 A074252 A074253 this_sequence A074255 A074256 A074257

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Sep 20 2002

EXTENSIONS

3 more terms from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Jun 09 2007

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Last modified December 4 08:07 EST 2009. Contains 170310 sequences.


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