What is the 5141st prime number?
The 5141st prime number is 50077. The next prime is 50087 (a gap of 10) and the one before is 50069.
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 5141st one is 50077.
- 2
50077 is prime because no prime up to ā50077 ā 223.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5141st prime is close to 5141 Ć ln(5141) ā 43930, and here it is 50077.
- 4
50077 has no twin: neither 50075 nor 50079 is prime.
Primes around the 5141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5138 | 50051 | 4 |
| 5139 | 50053 | 2 |
| 5140 | 50069 | 16 |
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
Questions
What is the 5141st prime number?
50077.
Which prime number is 50077?
50077 is the 5141st prime number.
What is the sum of the first 5141 primes?
121,413,682.