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Thabit number information


Thabit prime
Named afterThābit ibn Qurra
Conjectured no. of termsInfinite
Subsequence ofThabit numbers
First terms2, 5, 11, 23, 47, 95, 191, 383, 6143, 786431
OEIS indexA007505

In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form for a non-negative integer n.

The first few Thabit numbers are:

2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ... (sequence A055010 in the OEIS)

The 9th century mathematician, physician, astronomer and translator Thābit ibn Qurra is credited as the first to study these numbers and their relation to amicable numbers.[1]

  1. ^ Rashed, Roshdi (1994). The development of Arabic mathematics: between arithmetic and algebra. Vol. 156. Dordrecht, Boston, London: Kluwer Academic Publishers. p. 277. ISBN 0-7923-2565-6.

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