What is the 5038th prime number?
The 5038th prime number is 49019. The next prime is 49031 (a gap of 12) and the one before is 49009.
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 5038th one is 49019.
- 2
49019 is prime because no prime up to ā49019 ā 221.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5038th prime is close to 5038 Ć ln(5038) ā 42948, and here it is 49019.
- 4
49019 has no twin: neither 49017 nor 49021 is prime.
Primes around the 5038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
| 5038 | 49019 | 10 |
| 5039 | 49031 | 12 |
| 5040 | 49033 | 2 |
| 5041 | 49037 | 4 |
Questions
What is the 5038th prime number?
49019.
Which prime number is 49019?
49019 is the 5038th prime number.
What is the sum of the first 5038 primes?
116,310,269.