What is the 5051st prime number?
The 5051st prime number is 49139. The next prime is 49157 (a gap of 18) and the one before is 49123.
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 5051st one is 49139.
- 2
49139 is prime because no prime up to ā49139 ā 221.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5051st prime is close to 5051 Ć ln(5051) ā 43072, and here it is 49139.
- 4
49139 has no twin: neither 49137 nor 49141 is prime.
Primes around the 5051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
Questions
What is the 5051st prime number?
49139.
Which prime number is 49139?
49139 is the 5051st prime number.
What is the sum of the first 5051 primes?
116,948,332.