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Annotation of researchv10dc/man/adm/man1/factor.1, revision 1.1

1.1     ! root        1: .TH FACTOR 1 
        !             2: .CT 1 numbers
        !             3: .SH NAME
        !             4: factor, qfactor, primes \(mi factor a number, generate large primes
        !             5: .SH SYNOPSIS
        !             6: .B factor
        !             7: [
        !             8: .I number
        !             9: ]
        !            10: .PP
        !            11: .B qfactor
        !            12: .PP
        !            13: .B primes
        !            14: [
        !            15: .I start
        !            16: [
        !            17: .I finish
        !            18: ]
        !            19: ]
        !            20: .SH DESCRIPTION
        !            21: .I Factor
        !            22: prints
        !            23: .I number
        !            24: and its prime factors,
        !            25: each repeated the proper number of times.
        !            26: The number must be positive and less than
        !            27: .if n 2**56
        !            28: .if t 2\u\s756\s0\d
        !            29: (about
        !            30: .if n 7.2e16)
        !            31: .if t 7.2\(mu10\u\s716\s0\d\|).
        !            32: .PP
        !            33: If no
        !            34: .I number 
        !            35: is given,
        !            36: .I factor
        !            37: reads a stream of numbers from the standard input and factors them.
        !            38: It exits on any input not a positive integer.
        !            39: Maximum running time is proportional to
        !            40: .if n sqrt(n).
        !            41: .if t .I \(sr\o'n\(rn'.
        !            42: .PP
        !            43: .ig
        !            44: .I Lfactor
        !            45: reads one number from the standard input and factors it.
        !            46: Worst-case running time is proportional to
        !            47: .if n .IR n **(1/5);
        !            48: .if t .IR n \u\s-21/5\s0\d;
        !            49: it beats
        !            50: .I factor
        !            51: for hard 12-digit problems and is workable to around
        !            52: .if n .IR n =10**30.
        !            53: .if t .IR n =10\u\s-230\s0\d.
        !            54: ..
        !            55: .I Qfactor
        !            56: reads one number from the standard input and factors it.
        !            57: It will factor numbers
        !            58: up to about 40 digits.
        !            59: For large numbers it is much faster than
        !            60: .I factor.
        !            61: .PP
        !            62: .I Primes
        !            63: prints the prime numbers ranging from
        !            64: .I start
        !            65: to
        !            66: .I finish,
        !            67: where
        !            68: .I start
        !            69: and
        !            70: .I finish
        !            71: are positive numbers less than 
        !            72: .if n 2**56.
        !            73: .if t 2\u\s756\s0\d.
        !            74: If 
        !            75: .I finish
        !            76: is missing,
        !            77: .I primes
        !            78: prints without end;
        !            79: if
        !            80: .I start
        !            81: is missing, it reads the starting number from the
        !            82: standard input.

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