What is the 6551st prime number?
The 6551st prime number is 65587. The next prime is 65599 (a gap of 12) and the one before is 65581.
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 6551st one is 65587.
- 2
65587 is prime because no prime up to ā65587 ā 256.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6551st prime is close to 6551 Ć ln(6551) ā 57566, and here it is 65587.
- 4
65587 has no twin: neither 65585 nor 65589 is prime.
Primes around the 6551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6548 | 65563 | 6 |
| 6549 | 65579 | 16 |
| 6550 | 65581 | 2 |
| 6551 | 65587 | 6 |
| 6552 | 65599 | 12 |
| 6553 | 65609 | 10 |
| 6554 | 65617 | 8 |
Questions
What is the 6551st prime number?
65587.
Which prime number is 65587?
65587 is the 6551st prime number.
What is the sum of the first 6551 primes?
202,878,124.