What is the 5777th prime number?
The 5777th prime number is 56957. The next prime is 56963 (a gap of 6) and the one before is 56951.
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 5777th one is 56957.
- 2
56957 is prime because no prime up to ā56957 ā 238.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5777th prime is close to 5777 Ć ln(5777) ā 50038, and here it is 56957.
- 4
56957 has no twin: neither 56955 nor 56959 is prime.
Primes around the 5777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
| 5776 | 56951 | 10 |
| 5777 | 56957 | 6 |
| 5778 | 56963 | 6 |
| 5779 | 56983 | 20 |
| 5780 | 56989 | 6 |
Questions
What is the 5777th prime number?
56957.
Which prime number is 56957?
56957 is the 5777th prime number.
What is the sum of the first 5777 primes?
155,478,922.