What is the 784th prime number?
The 784th prime number is 6007. The next prime is 6011 (a gap of 4) and the one before is 5987.
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 784th one is 6007.
- 2
6007 is prime because no prime up to ā6007 ā 77.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 784th prime is close to 784 Ć ln(784) ā 5225, and here it is 6007.
- 4
6007 has no twin: neither 6005 nor 6009 is prime.
Primes around the 784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
| 784 | 6007 | 20 |
| 785 | 6011 | 4 |
| 786 | 6029 | 18 |
| 787 | 6037 | 8 |
Questions
What is the 784th prime number?
6007.
Which prime number is 6007?
6007 is the 784th prime number.
What is the sum of the first 784 primes?
2,180,741.