What is the 5783rd prime number?
The 5783rd prime number is 57037. The next prime is 57041 (a gap of 4) and the one before is 56999.
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 5783rd one is 57037.
- 2
57037 is prime because no prime up to ā57037 ā 238.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5783rd prime is close to 5783 Ć ln(5783) ā 50096, and here it is 57037.
- 4
57037 has no twin: neither 57035 nor 57039 is prime.
Primes around the 5783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5780 | 56989 | 6 |
| 5781 | 56993 | 4 |
| 5782 | 56999 | 6 |
| 5783 | 57037 | 38 |
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
Questions
What is the 5783rd prime number?
57037.
Which prime number is 57037?
57037 is the 5783rd prime number.
What is the sum of the first 5783 primes?
155,820,886.