What is the 7090th prime number?
The 7090th prime number is 71593. The next prime is 71597 (a gap of 4) and the one before is 71569.
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 7090th one is 71593.
- 2
71593 is prime because no prime up to ā71593 ā 267.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7090th prime is close to 7090 Ć ln(7090) ā 62863, and here it is 71593.
- 4
71593 has no twin: neither 71591 nor 71595 is prime.
Primes around the 7090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7087 | 71551 | 2 |
| 7088 | 71563 | 12 |
| 7089 | 71569 | 6 |
| 7090 | 71593 | 24 |
| 7091 | 71597 | 4 |
| 7092 | 71633 | 36 |
| 7093 | 71647 | 14 |
Questions
What is the 7090th prime number?
71593.
Which prime number is 71593?
71593 is the 7090th prime number.
What is the sum of the first 7090 primes?
239,864,357.