157

Basic Information

Cardinal Number

one hundred and fifty-seven

Ordinal Number

one hundred and fifty seventh

Roman Numeral

CLVII

Greek Numeral

ΡΝΖ´

Factorization

157

Standard Form

1.57 × 10²

Different Representations

Binary Form

10011101₂

Ternary Form

12211₃

Quaternary Form

2131₄

Quinary Form

1112₅

Senary Form

421₆

Septenary Form

313₇

Octal Form

235₈

Nonary Form

184₉

Undecimal Form

133₁₁

Duodecimal Form

111₁₂

Tridecimal Form

C1₁₃

Quattuordecimal Form

B3₁₄

Quindecimal Form

A7₁₅

Hexadecimal Form

9D₁₆

Septendecimal Form

94₁₇

Octodecimal Form

8D₁₈

Novemdecimal Form

85₁₉

Vigesimal Form

7H₂₀

Unvigesimal Form

7A₂₁

Duovigesimal Form

73₂₂

Trevigesimal Form

6J₂₃

Quattuorvigesimal Form

6D₂₄

Quinvigesimal Form

67₂₅

Hexavigesimal Form

61₂₆

Septenvigesimal Form

5M₂₇

Octovigesimal Form

5H₂₈

Novemvigesimal Form

5C₂₉

Trigesimal Form

57₃₀

Untrigesimal Form

52₃₁

Duotrigesimal Form

4T₃₂

Tretrigesimal Form

4P₃₃

Quattuortrigesimal Form

4L₃₄

Quintrigesimal Form

4H₃₅

Hexatrigesimal Form

4D₃₆

Previous	Current	Next
151	157	163

157 is a 3-digit prime number. 157 has 2 factors, 1 and 157. It is the 37th prime number and the twelfth prime number from 101-200.

Proofs[]

— 157 is divisible by 1.

— 157 is not divisible by 2-156.

— 157 is divisible by 157.

Therefore, 157 is a prime number.

As an Exponent of Mersenne Number[]

2¹⁵⁷ - 1 is divisible by 852,133,201, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

149 is the second previous prime number.
151 is the prime number preceding 157.
- The difference between 157 and 151 is 6. Therefore, they are sexy primes.
153 is a composite number. Its prime factorization is 3² × 17.
155 is a composite number. Its prime factorization is 5 × 31.

The numbers after[]

159 is a composite number. Its prime factorization is 3 × 53.
161 is also a composite number. Its prime factorization is 7 × 23.
163 is the prime number following 157.
- The difference between 163 and 157 is 6. Therefore, they are sexy primes.
165 is a composite number. Its prime factorization is 3 × 5 × 11.
- Due to having exactly three prime factors, 165 is a sphenic number.
167 is the prime number following 163.

Trivia[]

157 is a super-prime, since its position in the sequence of all primes is a prime number, which, in this case, is 37.
157 is the largest known prime p where ${\frac {p^{p}+1}{p+1}}$ is also prime.
157 is a palindromic prime in base 7 (313₇) and 12 (111₁₂).
In base 10, 157² = 24,649, and 158² = 24,964, which use the same digits, albeit in a different order. The two surrounding pairs with this property are (13, 14) and (913, 914).
157 is an emirp, since its reverse, 751, is also prime.
157 is a balanced prime, since the arithmetic mean of the primes surrounding 157 yields 157.

Navigation[]

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997