What is the 4771st prime number?
The 4771st prime number is 46103. The next prime is 46133 (a gap of 30) and the one before is 46099.
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 4771st one is 46103.
- 2
46103 is prime because no prime up to ā46103 ā 214.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4771st prime is close to 4771 Ć ln(4771) ā 40412, and here it is 46103.
- 4
46103 has no twin: neither 46101 nor 46105 is prime.
Primes around the 4771st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
Questions
What is the 4771st prime number?
46103.
Which prime number is 46103?
46103 is the 4771st prime number.
What is the sum of the first 4771 primes?
103,607,748.