What is the 5922nd prime number?
The 5922nd prime number is 58481. The next prime is 58511 (a gap of 30) and the one before is 58477.
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 5922nd one is 58481.
- 2
58481 is prime because no prime up to ā58481 ā 241.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5922nd prime is close to 5922 Ć ln(5922) ā 51441, and here it is 58481.
- 4
58481 has no twin: neither 58479 nor 58483 is prime.
Primes around the 5922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5919 | 58451 | 10 |
| 5920 | 58453 | 2 |
| 5921 | 58477 | 24 |
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
| 5925 | 58543 | 6 |
Questions
What is the 5922nd prime number?
58481.
Which prime number is 58481?
58481 is the 5922nd prime number.
What is the sum of the first 5922 primes?
163,850,445.