

A071395


Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers).


6



20, 70, 88, 104, 272, 304, 368, 464, 550, 572, 650, 748, 836, 945, 1184, 1312, 1376, 1430, 1504, 1575, 1696, 1870, 1888, 1952, 2002, 2090, 2205, 2210, 2470, 2530, 2584, 2990, 3128, 3190, 3230, 3410, 3465, 3496, 3770, 3944, 4030, 4070, 4095, 4216, 4288
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OFFSET

1,1


REFERENCES

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: SpringerVerlag, p. 46, also section B2, 1994.


LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Primitive Abundant Number


PROG

(PARI) isA071395(v) = {if (sigma(v) <= 2*v, return (0)); fordiv (v, d, if ((d != v) && (sigma(d) >= 2*d), return (0)); ); return (1); } \\ Michel Marcus, Mar 10 2013


CROSSREFS

Cf. A006038, A000396, A005100, A005101.
Sequence in context: A238101 A153728 A234367 * A245856 A053741 A052516
Adjacent sequences: A071392 A071393 A071394 * A071396 A071397 A071398


KEYWORD

nonn


AUTHOR

Joe McCauley (mccauley(AT)davesworld.net), Jun 12 2002


EXTENSIONS

Offset corrected by Donovan Johnson, Aug 28 2011


STATUS

approved



