What is the 5144th prime number?
The 5144th prime number is 50101. The next prime is 50111 (a gap of 10) and the one before is 50093.
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 5144th one is 50101.
- 2
50101 is prime because no prime up to ā50101 ā 223.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5144th prime is close to 5144 Ć ln(5144) ā 43958, and here it is 50101.
- 4
50101 has no twin: neither 50099 nor 50103 is prime.
Primes around the 5144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
Questions
What is the 5144th prime number?
50101.
Which prime number is 50101?
50101 is the 5144th prime number.
What is the sum of the first 5144 primes?
121,563,963.