

A177770


Conjectured positive numbers which have more than one representation (m,s) as a difference s^2  m^5, m >= 1, s > 0.


2



224, 356, 368, 433, 497, 657, 740, 1057, 1060, 1088, 1124, 1377, 1680, 1828, 2400, 2576, 3332, 3357, 3599, 4100, 4324, 4868, 7076, 8001, 8217, 10993, 11268, 11417, 12289, 13312, 14225, 14852, 15025, 15193, 15593, 15633, 17201, 19140, 20132, 20448, 21124
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OFFSET

1,1


COMMENTS

Warning: terms may be missing, see the Blomberg link.


LINKS

Lars Blomberg, Table of n, a(n) for n = 1..9889. The table contains solutions with differences < 10^9 generated for m <= 10^6. No more solutions are found for m <= 10^9.


EXAMPLE

a(1) = 224 = 15^21^5 = 16^22^5.
a(2) = 356 = 59^25^5 = 182^28^5.
a(3) = 368 = 20^22^5 = 45531^273^5.
a(4) = 433 = 26^23^5 = 3447^226^5.
a(5) = 497 = 23^22^5 = 39^24^5.
a(6) = 657 = 30^23^5 = 41^24^5.
a(7) = 740 = 42^24^5 = 12842^244^5.
a(8) = 1057 = 332^22^5 = 1375^218^5.
a(9) = 1060 = 94^26^5 = 2822^224^5.
a(10) = 1088 = 33^21^5 = 184^28^5.
a(11) = 1124 = 34^22^5 = 318^210^5.
a(12) = 1377 = 49^24^5 = 1574^219^5.
a(13) = 1680 = 41^21^5 = 52^24^5.
a(14) = 1828 = 98^26^5 = 186^28^5 = 90298^296^5.


CROSSREFS

Cf. A152412, A177760, A177761, A177763A177766.
Sequence in context: A345796 A046296 A240529 * A202442 A331371 A094209
Adjacent sequences: A177767 A177768 A177769 * A177771 A177772 A177773


KEYWORD

nonn


AUTHOR

Artur Jasinski, May 13 2010


EXTENSIONS

Added constraint s>0 to the definition, inserted 368  R. J. Mathar, May 23 2010
Name clarified, a(25)a(41) from Lars Blomberg, Aug 13 2013
Representations for a(3) added in Example by Lars Blomberg, Aug 13 2013


STATUS

approved



