What is the 5720th prime number?
The 5720th prime number is 56431. The next prime is 56437 (a gap of 6) and the one before is 56417.
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 5720th one is 56431.
- 2
56431 is prime because no prime up to ā56431 ā 237.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5720th prime is close to 5720 Ć ln(5720) ā 49488, and here it is 56431.
- 4
56431 has no twin: neither 56429 nor 56433 is prime.
Primes around the 5720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5717 | 56393 | 10 |
| 5718 | 56401 | 8 |
| 5719 | 56417 | 16 |
| 5720 | 56431 | 14 |
| 5721 | 56437 | 6 |
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
Questions
What is the 5720th prime number?
56431.
Which prime number is 56431?
56431 is the 5720th prime number.
What is the sum of the first 5720 primes?
152,247,233.