What is the 5637th prime number?
The 5637th prime number is 55547. The next prime is 55579 (a gap of 32) and the one before is 55541.
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 5637th one is 55547.
- 2
55547 is prime because no prime up to ā55547 ā 235.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5637th prime is close to 5637 Ć ln(5637) ā 48687, and here it is 55547.
- 4
55547 has no twin: neither 55545 nor 55549 is prime.
Primes around the 5637th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5634 | 55511 | 10 |
| 5635 | 55529 | 18 |
| 5636 | 55541 | 12 |
| 5637 | 55547 | 6 |
| 5638 | 55579 | 32 |
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
Questions
What is the 5637th prime number?
55547.
Which prime number is 55547?
55547 is the 5637th prime number.
What is the sum of the first 5637 primes?
147,601,594.