What is the 5779th prime number?
The 5779th prime number is 56983. The next prime is 56989 (a gap of 6) and the one before is 56963.
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 5779th one is 56983.
- 2
56983 is prime because no prime up to ā56983 ā 238.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5779th prime is close to 5779 Ć ln(5779) ā 50058, and here it is 56983.
- 4
56983 has no twin: neither 56981 nor 56985 is prime.
Primes around the 5779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5776 | 56951 | 10 |
| 5777 | 56957 | 6 |
| 5778 | 56963 | 6 |
| 5779 | 56983 | 20 |
| 5780 | 56989 | 6 |
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
Questions
What is the 5779th prime number?
56983.
Which prime number is 56983?
56983 is the 5779th prime number.
What is the sum of the first 5779 primes?
155,592,868.