What is the 6991st prime number?
The 6991st prime number is 70571. The next prime is 70573 (a gap of 2) and the one before is 70549.
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 6991st one is 70571.
- 2
70571 is prime because no prime up to ā70571 ā 265.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6991st prime is close to 6991 Ć ln(6991) ā 61887, and here it is 70571.
- 4
70571 is a twin prime: 70571 and 70573 are both prime.
Primes around the 6991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6988 | 70529 | 22 |
| 6989 | 70537 | 8 |
| 6990 | 70549 | 12 |
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
Questions
What is the 6991st prime number?
70571.
Which prime number is 70571?
70571 is the 6991st prime number.
What is the sum of the first 6991 primes?
232,825,558.