What is the 4761st prime number?
The 4761st prime number is 45989. The next prime is 46021 (a gap of 32) and the one before is 45979.
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 4761st one is 45989.
- 2
45989 is prime because no prime up to ā45989 ā 214.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4761st prime is close to 4761 Ć ln(4761) ā 40317, and here it is 45989.
- 4
45989 has no twin: neither 45987 nor 45991 is prime.
Primes around the 4761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4758 | 45959 | 6 |
| 4759 | 45971 | 12 |
| 4760 | 45979 | 8 |
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
Questions
What is the 4761st prime number?
45989.
Which prime number is 45989?
45989 is the 4761st prime number.
What is the sum of the first 4761 primes?
103,147,080.