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A092981
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Least product of successive primes beginning from just greater than n which is > n!.
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2
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2, 3, 35, 35, 1001, 1001, 46189, 46189, 1062347, 30808063, 86822723, 3212440751, 10131543907, 435656388001, 20475850236047, 1085220062510491, 3766351981654057, 229747470880897477, 810162134158954261
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(1) = 2 because the first prime >1 is 2 and 2 is > 1!
a(2) = 3 because the first prime >2 is 3 and 3 is > 2!
a(3) = 5*7 because first prime >3 is 5 and 5<3! but 5*7 >3!
a(7) = 46189 = 11*13*17*19 > 7!=5040 > 11*13*17= 2431.
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MAPLE
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f:= proc(n) local t, p, P;
t:= n!;
P:= 1; p:= n;
do
p:= nextprime(p);
P:= P*p;
if P > t then return P fi
od
end proc:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Corrected and extended by Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 23 2004
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STATUS
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approved
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