What is the 5920th prime number?
The 5920th prime number is 58453. The next prime is 58477 (a gap of 24) and the one before is 58451.
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 5920th one is 58453.
- 2
58453 is prime because no prime up to ā58453 ā 241.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5920th prime is close to 5920 Ć ln(5920) ā 51422, and here it is 58453.
- 4
58453 is a twin prime: 58451 and 58453 are both prime.
Primes around the 5920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5917 | 58439 | 12 |
| 5918 | 58441 | 2 |
| 5919 | 58451 | 10 |
| 5920 | 58453 | 2 |
| 5921 | 58477 | 24 |
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
Questions
What is the 5920th prime number?
58453.
Which prime number is 58453?
58453 is the 5920th prime number.
What is the sum of the first 5920 primes?
163,733,487.