What is the 6987th prime number?
The 6987th prime number is 70507. The next prime is 70529 (a gap of 22) and the one before is 70501.
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 6987th one is 70507.
- 2
70507 is prime because no prime up to ā70507 ā 265.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6987th prime is close to 6987 Ć ln(6987) ā 61848, and here it is 70507.
- 4
70507 has no twin: neither 70505 nor 70509 is prime.
Primes around the 6987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
| 6986 | 70501 | 12 |
| 6987 | 70507 | 6 |
| 6988 | 70529 | 22 |
| 6989 | 70537 | 8 |
| 6990 | 70549 | 12 |
Questions
What is the 6987th prime number?
70507.
Which prime number is 70507?
70507 is the 6987th prime number.
What is the sum of the first 6987 primes?
232,543,372.