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11: Philip J. Davis
 2018) received an undergraduate degree in mathematics from Harvard College in 1943. …
12: 27.12 Asymptotic Formulas: Primes
The largest known prime (2018) is the Mersenne prime 2 82 , 589 , 933 1 . …
13: Errata
  • Paragraph Prime Number Theorem (in §27.12)

    The largest known prime, which is a Mersenne prime, was updated from 2 43 , 112 , 609 1 (2009) to 2 82 , 589 , 933 1 (2018).

  • Version 1.0.21 (December 15, 2018)
    Version 1.0.20 (September 15, 2018)
    Version 1.0.19 (June 22, 2018)
    Version 1.0.18 (March 27, 2018)
    14: 10 Bessel Functions
    15: 4.17 Special Values and Limits
    Table 4.17.1: Trigonometric functions: values at multiples of 1 12 π .
    θ sin θ cos θ tan θ csc θ sec θ cot θ
    11 π / 12 1 4 2 ( 3 1 ) 1 4 2 ( 3 + 1 ) ( 2 3 ) 2 ( 3 + 1 ) 2 ( 3 1 ) ( 2 + 3 )
    16: 11 Struve and Related Functions
    Chapter 11 Struve and Related Functions
    17: Staff
  • Richard B. Paris, University of Abertay, Chaps. 8, 11

  • Hans Volkmer, University of Wisconsin, Milwaukee, Chaps. 29, 30

  • Richard B. Paris, University of Abertay Dundee, for Chaps. 8, 11 (deceased)

  • Hans Volkmer, University of Wisconsin–Milwaukee, for Chaps. 29, 30

  • 18: 29 Lamé Functions
    Chapter 29 Lamé Functions
    19: 11.11 Asymptotic Expansions of Anger–Weber Functions
    For sharp error bounds and exponentially-improved extensions, see Nemes (2018). …
    20: 26.2 Basic Definitions
    Table 26.2.1: Partitions p ( n ) .
    n p ( n ) n p ( n ) n p ( n )
    6 11 23 1255 40 37338
    11 56 28 3718 45 89134
    12 77 29 4565 46 1 05558