What is the 7141st prime number?
The 7141st prime number is 72139. The next prime is 72161 (a gap of 22) and the one before is 72109.
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 7141st one is 72139.
- 2
72139 is prime because no prime up to ā72139 ā 268.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7141st prime is close to 7141 Ć ln(7141) ā 63366, and here it is 72139.
- 4
72139 has no twin: neither 72137 nor 72141 is prime.
Primes around the 7141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
Questions
What is the 7141st prime number?
72139.
Which prime number is 72139?
72139 is the 7141st prime number.
What is the sum of the first 7141 primes?
243,530,636.