# the new prime in socat p_list = [0x00,0xdc,0x21,0x64,0x56,0xbd,0x9c,0xb2,0xac,0xbe,0xc9,0x98,0xef,0x95,0x3e, 0x26,0xfa,0xb5,0x57,0xbc,0xd9,0xe6,0x75,0xc0,0x43,0xa2,0x1c,0x7a,0x85,0xdf, 0x34,0xab,0x57,0xa8,0xf6,0xbc,0xf6,0x84,0x7d,0x05,0x69,0x04,0x83,0x4c,0xd5, 0x56,0xd3,0x85,0x09,0x0a,0x08,0xff,0xb5,0x37,0xa1,0xa3,0x8a,0x37,0x04,0x46, 0xd2,0x93,0x31,0x96,0xf4,0xe4,0x0d,0x9f,0xbd,0x3e,0x7f,0x9e,0x4d,0xaf,0x08, 0xe2,0xe8,0x03,0x94,0x73,0xc4,0xdc,0x06,0x87,0xbb,0x6d,0xae,0x66,0x2d,0x18, 0x1f,0xd8,0x47,0x06,0x5c,0xcf,0x8a,0xb5,0x00,0x51,0x57,0x9b,0xea,0x1e,0xd8, 0xdb,0x8e,0x3c,0x1f,0xd3,0x2f,0xba,0x1f,0x5f,0x3d,0x15,0xc1,0x3b,0x2c,0x82, 0x42,0xc8,0x8c,0x87,0x79,0x5b,0x38,0x86,0x3a,0xeb,0xfd,0x81,0xa9,0xba,0xf7, 0x26,0x5b,0x93,0xc5,0x3e,0x03,0x30,0x4b,0x00,0x5c,0xb6,0x23,0x3e,0xea,0x94, 0xc3,0xb4,0x71,0xc7,0x6e,0x64,0x3b,0xf8,0x92,0x65,0xad,0x60,0x6c,0xd4,0x7b, 0xa9,0x67,0x26,0x04,0xa8,0x0a,0xb2,0x06,0xeb,0xe0,0x7d,0x90,0xdd,0xdd,0xf5, 0xcf,0xb4,0x11,0x7c,0xab,0xc1,0xa3,0x84,0xbe,0x27,0x77,0xc7,0xde,0x20,0x57, 0x66,0x47,0xa7,0x35,0xfe,0x0d,0x6a,0x1c,0x52,0xb8,0x58,0xbf,0x26,0x33,0x81, 0x5e,0xb7,0xa9,0xc0,0xee,0x58,0x11,0x74,0x86,0x19,0x08,0x89,0x1c,0x37,0x0d, 0x52,0x47,0x70,0x75,0x8b,0xa8,0x8b,0x30,0x11,0x71,0x36,0x62,0xf0,0x73,0x41, 0xee,0x34,0x9d,0x0a,0x2b,0x67,0x4e,0x6a,0xa3,0xe2,0x99,0x92,0x1b,0xf5,0x32, 0x73,0x63] p = 0 for num in p_list: p = (p << 8) + num
is_pseudoprime(p)
True
is_prime(p)
True
q = (p - 1) / 2
is_pseudoprime(q)
True
is_prime(q)
False
is_pseudoprime((p-1)//2)
True
is_prime((p-1)//2)
True
is_prime(3/1)
False