What is the 6641st prime number?
The 6641st prime number is 66601. The next prime is 66617 (a gap of 16) and the one before is 66593.
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 6641st one is 66601.
- 2
66601 is prime because no prime up to ā66601 ā 258.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6641st prime is close to 6641 Ć ln(6641) ā 58448, and here it is 66601.
- 4
66601 has no twin: neither 66599 nor 66603 is prime.
Primes around the 6641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6638 | 66571 | 2 |
| 6639 | 66587 | 16 |
| 6640 | 66593 | 6 |
| 6641 | 66601 | 8 |
| 6642 | 66617 | 16 |
| 6643 | 66629 | 12 |
| 6644 | 66643 | 14 |
Questions
What is the 6641st prime number?
66601.
Which prime number is 66601?
66601 is the 6641st prime number.
What is the sum of the first 6641 primes?
208,825,842.