157

Sexy Prime (Primes p such that p + 6 is also prime)

157 = 1 × 2 + 3 × 4 + 56 + 78 + 9

157 = 9 + 8 × 7 + 6 + 54 + 32 × 1

157 = 0^5 − 1^6 + 2^8 − 3^9 + 4^7 + 5^0 + 6^1 + 7^4 + 8^2 + 9^3

157 = 6^2 + 11^2

157^2 = 85^2 + 132^2

157 divides 12^3 - 1.

Prime congruent to 2 mod 31.

Prime of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1, n = 7

157 is an irregular prime, since it divides the numerator of the Bernoulli number B62.

Weak veryprime

Prime whose binary representation is also the decimal representation of a prime.

Factors: 1, 157

One hundred fifty-seven

Representations, Binary to Hexadecimal:

10011101_2
12211_3
2131_4
1112_5
421_6
313_7
235_8
184_9
133_11
111_12
c1_13
b3_14
a7_15
9d_16

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