What is the 6989th prime number?
The 6989th prime number is 70537. The next prime is 70549 (a gap of 12) and the one before is 70529.
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 6989th one is 70537.
- 2
70537 is prime because no prime up to ā70537 ā 265.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6989th prime is close to 6989 Ć ln(6989) ā 61867, and here it is 70537.
- 4
70537 has no twin: neither 70535 nor 70539 is prime.
Primes around the 6989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6986 | 70501 | 12 |
| 6987 | 70507 | 6 |
| 6988 | 70529 | 22 |
| 6989 | 70537 | 8 |
| 6990 | 70549 | 12 |
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
Questions
What is the 6989th prime number?
70537.
Which prime number is 70537?
70537 is the 6989th prime number.
What is the sum of the first 6989 primes?
232,684,438.