What is the 6990th prime number?
The 6990th prime number is 70549. The next prime is 70571 (a gap of 22) and the one before is 70537.
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 6990th one is 70549.
- 2
70549 is prime because no prime up to ā70549 ā 265.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6990th prime is close to 6990 Ć ln(6990) ā 61877, and here it is 70549.
- 4
70549 has no twin: neither 70547 nor 70551 is prime.
Primes around the 6990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6987 | 70507 | 6 |
| 6988 | 70529 | 22 |
| 6989 | 70537 | 8 |
| 6990 | 70549 | 12 |
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
Questions
What is the 6990th prime number?
70549.
Which prime number is 70549?
70549 is the 6990th prime number.
What is the sum of the first 6990 primes?
232,754,987.