What is the 770th prime number?
The 770th prime number is 5857. The next prime is 5861 (a gap of 4) and the one before is 5851.
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 770th one is 5857.
- 2
5857 is prime because no prime up to ā5857 ā 76.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 770th prime is close to 770 Ć ln(770) ā 5118, and here it is 5857.
- 4
5857 has no twin: neither 5855 nor 5859 is prime.
Primes around the 770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 767 | 5843 | 4 |
| 768 | 5849 | 6 |
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
Questions
What is the 770th prime number?
5857.
Which prime number is 5857?
5857 is the 770th prime number.
What is the sum of the first 770 primes?
2,097,867.