What is the 5641st prime number?
The 5641st prime number is 55609. The next prime is 55619 (a gap of 10) and the one before is 55603.
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 5641st one is 55609.
- 2
55609 is prime because no prime up to ā55609 ā 235.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5641st prime is close to 5641 Ć ln(5641) ā 48726, and here it is 55609.
- 4
55609 has no twin: neither 55607 nor 55611 is prime.
Primes around the 5641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5638 | 55579 | 32 |
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
| 5644 | 55631 | 10 |
Questions
What is the 5641st prime number?
55609.
Which prime number is 55609?
55609 is the 5641st prime number.
What is the sum of the first 5641 primes?
147,823,974.