What is the 7159th prime number?
The 7159th prime number is 72337. The next prime is 72341 (a gap of 4) and the one before is 72313.
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 7159th one is 72337.
- 2
72337 is prime because no prime up to ā72337 ā 268.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7159th prime is close to 7159 Ć ln(7159) ā 63544, and here it is 72337.
- 4
72337 has no twin: neither 72335 nor 72339 is prime.
Primes around the 7159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7156 | 72287 | 10 |
| 7157 | 72307 | 20 |
| 7158 | 72313 | 6 |
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
Questions
What is the 7159th prime number?
72337.
Which prime number is 72337?
72337 is the 7159th prime number.
What is the sum of the first 7159 primes?
244,830,982.