What is the 5042nd prime number?
The 5042nd prime number is 49043. The next prime is 49057 (a gap of 14) and the one before is 49037.
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 5042nd one is 49043.
- 2
49043 is prime because no prime up to ā49043 ā 221.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5042nd prime is close to 5042 Ć ln(5042) ā 42986, and here it is 49043.
- 4
49043 has no twin: neither 49041 nor 49045 is prime.
Primes around the 5042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5039 | 49031 | 12 |
| 5040 | 49033 | 2 |
| 5041 | 49037 | 4 |
| 5042 | 49043 | 6 |
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
Questions
What is the 5042nd prime number?
49043.
Which prime number is 49043?
49043 is the 5042nd prime number.
What is the sum of the first 5042 primes?
116,506,413.