What is the 6488th prime number?
The 6488th prime number is 64921. The next prime is 64927 (a gap of 6) and the one before is 64919.
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 6488th one is 64921.
- 2
64921 is prime because no prime up to ā64921 ā 254.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6488th prime is close to 6488 Ć ln(6488) ā 56950, and here it is 64921.
- 4
64921 is a twin prime: 64919 and 64921 are both prime.
Primes around the 6488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6485 | 64891 | 12 |
| 6486 | 64901 | 10 |
| 6487 | 64919 | 18 |
| 6488 | 64921 | 2 |
| 6489 | 64927 | 6 |
| 6490 | 64937 | 10 |
| 6491 | 64951 | 14 |
Questions
What is the 6488th prime number?
64921.
Which prime number is 64921?
64921 is the 6488th prime number.
What is the sum of the first 6488 primes?
198,766,231.