What is the 6985th prime number?
The 6985th prime number is 70489. The next prime is 70501 (a gap of 12) and the one before is 70487.
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 6985th one is 70489.
- 2
70489 is prime because no prime up to ā70489 ā 265.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6985th prime is close to 6985 Ć ln(6985) ā 61828, and here it is 70489.
- 4
70489 is a twin prime: 70487 and 70489 are both prime.
Primes around the 6985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6982 | 70459 | 2 |
| 6983 | 70481 | 22 |
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
| 6986 | 70501 | 12 |
| 6987 | 70507 | 6 |
| 6988 | 70529 | 22 |
Questions
What is the 6985th prime number?
70489.
Which prime number is 70489?
70489 is the 6985th prime number.
What is the sum of the first 6985 primes?
232,402,364.