[[93]] is not prime (composite). Want proof? :)
Full prime factorization: [[3]] * [[31]]
Factor pairs:
Proper divisors: [[3]], [[31]]
Primes up to 93: [[2]], [[3]], [[5]], [[7]], [[11]], [[13]], [[17]], [[19]], [[23]], [[29]], [[31]], [[37]], [[41]], [[43]], [[47]], [[53]], [[59]], [[61]], [[67]], [[71]], [[73]], [[79]], [[83]], [[89]].
[[93]] is not a centered hexagonal number.
The closest centered hexagonal numbers are [[91]] (index # [[6]]) and [[127]] (index # [[7]]).
First 20 centered hexagonal numbers: [[1]], [[7]], [[19]], [[37]], [[61]], [[91]], [[127]], [[169]], [[217]], [[271]], [[331]], [[397]], [[469]], [[547]], [[631]], [[721]], [[817]], [[919]], [[1027]], [[1141]].
[[square]]: 8649
[[square root]]: 9.6437
[[cube]]: 804357
[[cube root]]: 4.5307
[[natural log]] (ln): 4.5326
[[base-10 log]] (log10): 1.9685
[[base-2 log]] (log2): 6.5392
https://colinraffel.com/projects/lmd/
The Lakh MIDI dataset is a collection of 176,581 unique MIDI files, 45,129 of which have been matched and aligned to entries in the Million Song Dataset. Its goal is to facilitate large-scale music information retrieval, both symbolic (using the MIDI files alone) and audio content-based (using information extracted from the MIDI files as annotations for the matched audio files).
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