0,2

The triple 171078830, 171078832, 171078832 was apparently found by Laurent Hodges and Michael Reid in 1975.

The starting term of the smallest consecutive 4-tuple of abundant numbers is at most 141363708067871564084949719820472453374 - Bruno Mishutka (bruno.mishutka(AT)googlemail.com), Nov 01 2007

Paul Erdos showed that there are two absolute constants c1, c2 such that for all large n there are at least c1 log log log n but not more than c2 log log log n consecutive abundant numbers less than n. - Bruno Mishutka (bruno.mishutka(AT)googlemail.com), Nov 01 2007

The term a(0) = 0 is included to avoid the warning messages triggered by sequences with fewer than four terms. - N. J. A. Sloane (njas(AT)research.att.com), Nov 07 2007

J.-M. De Koninck and A. Mercier, 1001 Problemes en Theorie Classique Des Nombres, Problem 771, pp. 98, 327, Ellipses, Paris, 2004.

Paul Erdos, "Note on consecutive abundant numbers", J. London Math. Soc. 10, 128-131 (1935).

Cf. A005105, A005231.

Sequence in context: A013508 A003793 A171669 this_sequence A012607 A167072 A107251

Adjacent sequences: A094265 A094266 A094267 this_sequence A094269 A094270 A094271

hard,more,nonn

Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 02 2004