What is the 785th prime number?
The 785th prime number is 6011. The next prime is 6029 (a gap of 18) and the one before is 6007.
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 785th one is 6011.
- 2
6011 is prime because no prime up to ā6011 ā 77.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 785th prime is close to 785 Ć ln(785) ā 5233, and here it is 6011.
- 4
6011 has no twin: neither 6009 nor 6013 is prime.
Primes around the 785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
| 784 | 6007 | 20 |
| 785 | 6011 | 4 |
| 786 | 6029 | 18 |
| 787 | 6037 | 8 |
| 788 | 6043 | 6 |
Questions
What is the 785th prime number?
6011.
Which prime number is 6011?
6011 is the 785th prime number.
What is the sum of the first 785 primes?
2,186,752.