What is the 6553rd prime number?
The 6553rd prime number is 65609. The next prime is 65617 (a gap of 8) and the one before is 65599.
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 6553rd one is 65609.
- 2
65609 is prime because no prime up to ā65609 ā 256.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6553rd prime is close to 6553 Ć ln(6553) ā 57586, and here it is 65609.
- 4
65609 has no twin: neither 65607 nor 65611 is prime.
Primes around the 6553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6550 | 65581 | 2 |
| 6551 | 65587 | 6 |
| 6552 | 65599 | 12 |
| 6553 | 65609 | 10 |
| 6554 | 65617 | 8 |
| 6555 | 65629 | 12 |
| 6556 | 65633 | 4 |
Questions
What is the 6553rd prime number?
65609.
Which prime number is 65609?
65609 is the 6553rd prime number.
What is the sum of the first 6553 primes?
203,009,332.