What is the 5149th prime number?
The 5149th prime number is 50131. The next prime is 50147 (a gap of 16) and the one before is 50129.
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 5149th one is 50131.
- 2
50131 is prime because no prime up to ā50131 ā 223.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5149th prime is close to 5149 Ć ln(5149) ā 44006, and here it is 50131.
- 4
50131 is a twin prime: 50129 and 50131 are both prime.
Primes around the 5149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
| 5152 | 50159 | 6 |
Questions
What is the 5149th prime number?
50131.
Which prime number is 50131?
50131 is the 5149th prime number.
What is the sum of the first 5149 primes?
121,814,576.