What is the 5112th prime number?
The 5112th prime number is 49787. The next prime is 49789 (a gap of 2) and the one before is 49783.
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 5112th one is 49787.
- 2
49787 is prime because no prime up to ā49787 ā 223.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5112th prime is close to 5112 Ć ln(5112) ā 43653, and here it is 49787.
- 4
49787 is a twin prime: 49787 and 49789 are both prime.
Primes around the 5112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
| 5115 | 49807 | 6 |
Questions
What is the 5112th prime number?
49787.
Which prime number is 49787?
49787 is the 5112th prime number.
What is the sum of the first 5112 primes?
119,965,585.