What is the 4770th prime number?
The 4770th prime number is 46099. The next prime is 46103 (a gap of 4) and the one before is 46093.
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 4770th one is 46099.
- 2
46099 is prime because no prime up to ā46099 ā 214.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4770th prime is close to 4770 Ć ln(4770) ā 40402, and here it is 46099.
- 4
46099 has no twin: neither 46097 nor 46101 is prime.
Primes around the 4770th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
Questions
What is the 4770th prime number?
46099.
Which prime number is 46099?
46099 is the 4770th prime number.
What is the sum of the first 4770 primes?
103,561,645.