What is the 7157th prime number?
The 7157th prime number is 72307. The next prime is 72313 (a gap of 6) and the one before is 72287.
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 7157th one is 72307.
- 2
72307 is prime because no prime up to ā72307 ā 268.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7157th prime is close to 7157 Ć ln(7157) ā 63524, and here it is 72307.
- 4
72307 has no twin: neither 72305 nor 72309 is prime.
Primes around the 7157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7154 | 72271 | 2 |
| 7155 | 72277 | 6 |
| 7156 | 72287 | 10 |
| 7157 | 72307 | 20 |
| 7158 | 72313 | 6 |
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
Questions
What is the 7157th prime number?
72307.
Which prime number is 72307?
72307 is the 7157th prime number.
What is the sum of the first 7157 primes?
244,686,332.