What is the 5121st prime number?
The 5121st prime number is 49871. The next prime is 49877 (a gap of 6) and the one before is 49853.
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 5121st one is 49871.
- 2
49871 is prime because no prime up to ā49871 ā 223.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5121st prime is close to 5121 Ć ln(5121) ā 43739, and here it is 49871.
- 4
49871 has no twin: neither 49869 nor 49873 is prime.
Primes around the 5121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5118 | 49831 | 8 |
| 5119 | 49843 | 12 |
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
Questions
What is the 5121st prime number?
49871.
Which prime number is 49871?
49871 is the 5121st prime number.
What is the sum of the first 5121 primes?
120,414,014.