What is the 5781st prime number?
The 5781st prime number is 56993. The next prime is 56999 (a gap of 6) and the one before is 56989.
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 5781st one is 56993.
- 2
56993 is prime because no prime up to ā56993 ā 238.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5781st prime is close to 5781 Ć ln(5781) ā 50077, and here it is 56993.
- 4
56993 has no twin: neither 56991 nor 56995 is prime.
Primes around the 5781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5778 | 56963 | 6 |
| 5779 | 56983 | 20 |
| 5780 | 56989 | 6 |
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
Questions
What is the 5781st prime number?
56993.
Which prime number is 56993?
56993 is the 5781st prime number.
What is the sum of the first 5781 primes?
155,706,850.