period of a prime

Let p be a prime. The period of the decimal expansion of 1/p is often called the period of p. This period always divides p-1 and usually found by calculating the order of 10 modulo p (which equals the period). If the period equals p-1, then it is a full period prime.

Period of 1/p (for primes p)
pperiodp periodpperiodp periodpperiodp period
2*31 5*7611 2136
171619 1823 22292831 15373
41543 21 47465313 59586160
673371 3573879 1383418944
9796101 410334107 53109108113 112
12742131 1301378139 46149148151 75
15778163 81167166173 43179178181 180
19195193 19219798199 9921130223 222
227113 229228233232 239724130 25150
257256263 262269268271 52776928128

See Also: UniquePrime

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