What is the 4760th prime number?
The 4760th prime number is 45979. The next prime is 45989 (a gap of 10) and the one before is 45971.
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 4760th one is 45979.
- 2
45979 is prime because no prime up to ā45979 ā 214.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4760th prime is close to 4760 Ć ln(4760) ā 40308, and here it is 45979.
- 4
45979 has no twin: neither 45977 nor 45981 is prime.
Primes around the 4760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4757 | 45953 | 4 |
| 4758 | 45959 | 6 |
| 4759 | 45971 | 12 |
| 4760 | 45979 | 8 |
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
Questions
What is the 4760th prime number?
45979.
Which prime number is 45979?
45979 is the 4760th prime number.
What is the sum of the first 4760 primes?
103,101,091.