What is the 783rd prime number?
The 783rd prime number is 5987. The next prime is 6007 (a gap of 20) and the one before is 5981.
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 783rd one is 5987.
- 2
5987 is prime because no prime up to ā5987 ā 77.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 783rd prime is close to 783 Ć ln(783) ā 5217, and here it is 5987.
- 4
5987 has no twin: neither 5985 nor 5989 is prime.
Primes around the 783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
| 784 | 6007 | 20 |
| 785 | 6011 | 4 |
| 786 | 6029 | 18 |
Questions
What is the 783rd prime number?
5987.
Which prime number is 5987?
5987 is the 783rd prime number.
What is the sum of the first 783 primes?
2,174,734.