What is the 5155th prime number?
The 5155th prime number is 50221. The next prime is 50227 (a gap of 6) and the one before is 50207.
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 5155th one is 50221.
- 2
50221 is prime because no prime up to ā50221 ā 224.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5155th prime is close to 5155 Ć ln(5155) ā 44064, and here it is 50221.
- 4
50221 has no twin: neither 50219 nor 50223 is prime.
Primes around the 5155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5152 | 50159 | 6 |
| 5153 | 50177 | 18 |
| 5154 | 50207 | 30 |
| 5155 | 50221 | 14 |
| 5156 | 50227 | 6 |
| 5157 | 50231 | 4 |
| 5158 | 50261 | 30 |
Questions
What is the 5155th prime number?
50221.
Which prime number is 50221?
50221 is the 5155th prime number.
What is the sum of the first 5155 primes?
122,115,640.