What is the 5755th prime number?
The 5755th prime number is 56767. The next prime is 56773 (a gap of 6) and the one before is 56747.
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 5755th one is 56767.
- 2
56767 is prime because no prime up to ā56767 ā 238.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5755th prime is close to 5755 Ć ln(5755) ā 49826, and here it is 56767.
- 4
56767 has no twin: neither 56765 nor 56769 is prime.
Primes around the 5755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
Questions
What is the 5755th prime number?
56767.
Which prime number is 56767?
56767 is the 5755th prime number.
What is the sum of the first 5755 primes?
154,227,814.