What is the 157th prime number?
The 157th prime number is 919. The next prime is 929 (a gap of 10) and the one before is 911.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 157th one is 919.
- 2
919 is prime because no prime up to ā919 ā 30.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 157th prime is close to 157 Ć ln(157) ā 794, and here it is 919.
- 4
919 has no twin: neither 917 nor 921 is prime.
Primes around the 157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 154 | 887 | 4 |
| 155 | 907 | 20 |
| 156 | 911 | 4 |
| 157 | 919 | 8 |
| 158 | 929 | 10 |
| 159 | 937 | 8 |
| 160 | 941 | 4 |
Questions
What is the 157th prime number?
919.
Which prime number is 919?
919 is the 157th prime number.
What is the sum of the first 157 primes?
65,534.