What is the 6986th prime number?
The 6986th prime number is 70501. The next prime is 70507 (a gap of 6) and the one before is 70489.
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 6986th one is 70501.
- 2
70501 is prime because no prime up to ā70501 ā 265.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6986th prime is close to 6986 Ć ln(6986) ā 61838, and here it is 70501.
- 4
70501 has no twin: neither 70499 nor 70503 is prime.
Primes around the 6986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6983 | 70481 | 22 |
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
| 6986 | 70501 | 12 |
| 6987 | 70507 | 6 |
| 6988 | 70529 | 22 |
| 6989 | 70537 | 8 |
Questions
What is the 6986th prime number?
70501.
Which prime number is 70501?
70501 is the 6986th prime number.
What is the sum of the first 6986 primes?
232,472,865.