What is the 6992nd prime number?
The 6992nd prime number is 70573. The next prime is 70583 (a gap of 10) and the one before is 70571.
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 6992nd one is 70573.
- 2
70573 is prime because no prime up to ā70573 ā 265.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6992nd prime is close to 6992 Ć ln(6992) ā 61897, and here it is 70573.
- 4
70573 is a twin prime: 70571 and 70573 are both prime.
Primes around the 6992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6989 | 70537 | 8 |
| 6990 | 70549 | 12 |
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
Questions
What is the 6992nd prime number?
70573.
Which prime number is 70573?
70573 is the 6992nd prime number.
What is the sum of the first 6992 primes?
232,896,131.