What is the 4112th prime number?
The 4112th prime number is 39047. The next prime is 39079 (a gap of 32) and the one before is 39043.
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 4112th one is 39047.
- 2
39047 is prime because no prime up to ā39047 ā 197.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4112th prime is close to 4112 Ć ln(4112) ā 34219, and here it is 39047.
- 4
39047 has no twin: neither 39045 nor 39049 is prime.
Primes around the 4112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
| 4112 | 39047 | 4 |
| 4113 | 39079 | 32 |
| 4114 | 39089 | 10 |
| 4115 | 39097 | 8 |
Questions
What is the 4112th prime number?
39047.
Which prime number is 39047?
39047 is the 4112th prime number.
What is the sum of the first 4112 primes?
75,574,061.