What is the 5921st prime number?
The 5921st prime number is 58477. The next prime is 58481 (a gap of 4) and the one before is 58453.
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 5921st one is 58477.
- 2
58477 is prime because no prime up to ā58477 ā 241.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5921st prime is close to 5921 Ć ln(5921) ā 51431, and here it is 58477.
- 4
58477 has no twin: neither 58475 nor 58479 is prime.
Primes around the 5921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5918 | 58441 | 2 |
| 5919 | 58451 | 10 |
| 5920 | 58453 | 2 |
| 5921 | 58477 | 24 |
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
Questions
What is the 5921st prime number?
58477.
Which prime number is 58477?
58477 is the 5921st prime number.
What is the sum of the first 5921 primes?
163,791,964.