What is the 4769th prime number?
The 4769th prime number is 46093. The next prime is 46099 (a gap of 6) and the one before is 46091.
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 4769th one is 46093.
- 2
46093 is prime because no prime up to ā46093 ā 214.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4769th prime is close to 4769 Ć ln(4769) ā 40393, and here it is 46093.
- 4
46093 is a twin prime: 46091 and 46093 are both prime.
Primes around the 4769th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
Questions
What is the 4769th prime number?
46093.
Which prime number is 46093?
46093 is the 4769th prime number.
What is the sum of the first 4769 primes?
103,515,546.