What is the 5151st prime number?
The 5151st prime number is 50153. The next prime is 50159 (a gap of 6) and the one before is 50147.
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 5151st one is 50153.
- 2
50153 is prime because no prime up to ā50153 ā 223.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5151st prime is close to 5151 Ć ln(5151) ā 44025, and here it is 50153.
- 4
50153 has no twin: neither 50151 nor 50155 is prime.
Primes around the 5151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
| 5152 | 50159 | 6 |
| 5153 | 50177 | 18 |
| 5154 | 50207 | 30 |
Questions
What is the 5151st prime number?
50153.
Which prime number is 50153?
50153 is the 5151st prime number.
What is the sum of the first 5151 primes?
121,914,876.