What is the 5142nd prime number?
The 5142nd prime number is 50087. The next prime is 50093 (a gap of 6) and the one before is 50077.
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 5142nd one is 50087.
- 2
50087 is prime because no prime up to ā50087 ā 223.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5142nd prime is close to 5142 Ć ln(5142) ā 43939, and here it is 50087.
- 4
50087 has no twin: neither 50085 nor 50089 is prime.
Primes around the 5142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5139 | 50053 | 2 |
| 5140 | 50069 | 16 |
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
Questions
What is the 5142nd prime number?
50087.
Which prime number is 50087?
50087 is the 5142nd prime number.
What is the sum of the first 5142 primes?
121,463,769.