Provided by: libmath-prime-util-perl_0.73-1build1_amd64 #### NAME

```       primes.pl - Display all primes

```

#### SYNOPSIS

```       primes [options]  [START]  END

```

#### DESCRIPTION

```       Displays all primes between the positive integers START and END, inclusive.  The START and
END values must be integers or simple expressions.  This allows inputs like  "10**500+100"
or  "2**64-1000" or "2 * nth_prime(560)".  Additionally, if END starts with '+' then it is
assumed to add to START.  If only one number is given, primes up to that number are  shown
(START = 0).

General options:

--help displays this help message

Filter  options,  which will cause the list of primes to be further filtered to only those

--twin Twin             p+2 is prime

--triplet
Triplet          p+6 and (p+2 or p+4) are prime

p+2, p+6, and p+8 are prime

--cousin
Cousin           p+4 is prime

--sexy Sexy             p+6 is prime

--safe Safe             (p-1)/2 is also prime

--sophie
Sophie Germain   2p+1 is also prime

--lucas
Lucas            L_p is prime

--fibonacci
Fibonacci        F_p is prime

--mersenne
Mersenne         M_p = 2^p-1 is prime

--lucky
Lucky            p is a lucky number

--palindr
Palindromic      p is equal to p with its base-10 digits reversed

--pillai
Pillai           n! % p = p-1 and p % n != 1 for some n

--good Good             p_n^2 > p_{n-i}*p_{n+i} for all i in (1..n-1)

--cuban1
Cuban (y+1)      p = (x^3 - y^3)/(x-y), x=y+1

--cuban2
Cuban (y+2)      p = (x^3 - y^3)/(x-y), x=y+2

--pnp1 Primorial+1      p#+1 is prime

--pnm1 Primorial-1      p#-1 is prime

--euclid
Euclid           pn#+1 is prime

--circular
Circular         all digit rotations of p are prime

--panaitopol Panaitopol
p = (x^4-y^4)/(x^3+y^3) for some x,y

--provable
Ensure all primes are provably prime

Note that options can be combined, e.g. display only  safe  twin  primes.   In  all  cases
involving  multiples  (twin, triplet, etc.), the value returned is p -- the least value of
the set.

```

#### AUTHOR

```       Written by Dana Jacobsen.

primes.pl version 1.3 using Math::Prime::UtOctober 2019MPU::GMP 0.51                 PRIMES.PL(1)
```