Abstract
Denote byh(p) the first factor of the class number of the prime cyclotomic fieldk(exp (2πi/p)). The theorem:h(p 2)>h(p 1) if 641 ≧p 2>p 1 ≧ 19 is proved by straightforward computation.
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References
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Pajunen, S. Computations on the growth of the first factor for prime cyclotomic fields. BIT 16, 85–87 (1976). https://doi.org/10.1007/BF01940781
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DOI: https://doi.org/10.1007/BF01940781