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Daniel Larsen

Researchers / independent engineers · Science/Research · milestone at age 18 ·T4 Specialist-known
Milestone (age 18)
At age 17, proved Bertrand's postulate for Carmichael numbers, resolving a 1994 conjecture of Alford, Granville, and Pomerance, while still a high school student.
Larsen grew up in Bloomington, Indiana with both parents serving as mathematics professors at Indiana University. His father hosted a math circle that Larsen attended from age four. After watching a documentary about Yitang Zhang, he became interested in number theory and, after roughly 300 hours of work, proved a result about Carmichael numbers that had eluded mathematicians for decades.
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Starting point

Born 2003 in Bloomington, Indiana; both parents are mathematicians at Indiana University (mother Ayelet Lindenstrauss, father Michael Larsen). Started designing crossword puzzles in middle school and became the youngest NYT crossword constructor at age 13.

Current position (2026)

Undergraduate student at MIT studying mathematics; Regeneron Science Talent Search 4th place winner (2022); Morgan Prize Honorable Mention (2026).

How this path compounded
01 Starting advantages

8/24 starting-position score

Strongest documented signals: Parent / family domain, Family financial platform, Elite institution pipeline.

Describes the starting position, not what the person later made of it.

Cohort percentile: 74
02 Built or converted leverage

12/25 multiplying-capacity score

Strongest observed levers:Domain proximity, Started serious reps before 20, Prior reps.

Measures what was present, not whether it was inherited, earned, self-built, external, or mixed.

Cohort percentile: 38
03 Compounding trajectory

6 documented steps

The timeline below shows the sequence of work and transitions around the selected early milestone. It is evidence of a path, not proof that every step was necessary.

Milestone at age 18
04 Observed career standing

T4 · Specialist-known

Notable, but primarily known within a niche. The tier summarizes documented career recognition through the data cutoff—not Daniel Larsen's worth or future potential.

Question four · where did the leverage come from?

Daniel Larsen's leverage provenance

Each non-zero lever gets a best-supported origin, evidence signals, and confidence. Unresolved is the honest default when the biography cannot distinguish self-built, advantage-enabled, earned, external, or mixed.

Started serious reps before 201/1
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Parent / family domain (2/2)Rare early tools (1/2)Dedicated mentor / coach (1/2)Elite institution pipeline (1/2)
Domain proximity2/2
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Direct domain exposure (1/2)Parent / family domain (2/2)Elite institution pipeline (1/2)
Prior reps2/3
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Parent / family domain (2/2)Rare early tools (1/2)Dedicated mentor / coach (1/2)Elite institution pipeline (1/2)
Scarce skill depth2/3
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Parent / family domain (2/2)Rare early tools (1/2)Dedicated mentor / coach (1/2)Elite institution pipeline (1/2)
Concentration intensity2/3
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Family financial platform (1/2)Dedicated mentor / coach (1/2)
Capital safety1/2
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Family financial platform (1/2)Elite institution pipeline (1/2)
Elite ecosystem network1/3
Advantage-enabledmedium confidence

One or more documented starting advantages plausibly enabled this lever.

Parent / family domain (2/2)Elite institution pipeline (1/2)
Structural wave / timing1/3
Externalmedium confidence

A structural wave is external to the person, even when their position improved access to it.

No decisive linked signal

This is a bounded inference from the current annotations—not a claim about private effort, merit, or the percentage of Daniel Larsen's outcome attributable to any origin.

Luck is not a leftover score.

Structural luck, Encounter luck, Event luck, Outcome variance can change every arrow in the path. This successful-only dataset cannot observe the near-identical paths that did not break through, so luck stays visible and unscored.

Within Researchers / independent engineers, Daniel Larsen's starting-advantage total is at the 74th percentile. Separately, their built or converted leverage total is at the 38th percentile. Other T4 profiles average 5.7 / 24 starting advantage and 10.3 / 25 leverage. Similar scores appear in other tiers, so these figures describe positioning—not a cause.
Trajectory
  1. 2017 · age 14
    Youngest NYT crossword constructor
    Became the youngest accepted contributor to The New York Times crossword puzzle in February 2017 at age 13, ultimately submitting 11 approved puzzles.
  2. 2021 · age 18
    Proved Bertrand's postulate for Carmichael numbers
    Published a paper on arXiv in November 2021 proving Bertrand's postulate for Carmichael numbers, resolving a 1994 conjecture of Alford, Granville, and Pomerance, while still a high school student.
  3. 2022 · age 19
    Regeneron Science Talent Search 4th place
    Became a finalist in the 2022 Regeneron Science Talent Search for his Carmichael numbers research, winning 4th place and $100,000 for college tuition.
  4. 2022 · age 19
    Enrolled at MIT
    Began undergraduate studies in mathematics at the Massachusetts Institute of Technology in the fall of 2022.
  5. 2023 · age 20
    Paper published in IMRN
    His paper 'Bertrand's Postulate for Carmichael Numbers' was published in the International Mathematics Research Notices journal.
  6. 2026 · age 23
    Morgan Prize Honorable Mention
    Received an Honorable Mention for the 2026 Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student.
Primary leverage engine
Technical depth
Scarce technical / intellectual depth
Secondary engine
Family domain transfer
Built/converted leverage
12 / 25
evidence: High
Built or converted leverage

Multiplying capacity documented later in the path. Measures what was present, not whether it was inherited, earned, self-built, external, or mixed.

Started serious reps before 20
1/1
Prior reps
2/3
Scarce skill depth
2/3
Native distribution
0/3
Elite ecosystem network
1/3
Complementary team
0/2
Structural wave / timing
1/3
Concentration intensity
2/3
Capital safety
1/2
Domain proximity
2/2
Starting-advantage scores (0–2 each)

Access or conditions documented near the beginning of the path. Zero means "no clear evidence in reviewed sources," not "advantage was absent."

Family financial platform
1/2
Parent / family domain
2/2
Inherited audience / network
0/2
Elite institution pipeline
1/2
Frontier geography
0/2
Rare early tools
1/2
Dedicated mentor / coach
1/2
Exceptional peer / cofounder
0/2
Early online platform
0/2
Direct domain exposure
1/2
Prodigy / innate ability
1/2
Adversity / constraint catalyst
0/2

Family context

Born to Indiana University Bloomington mathematics professors Michael J. Larsen and Ayelet Lindenstrauss; grew up in Bloomington, Indiana in an academic household.

Parent / family domain

Both parents are mathematics professors at Indiana University; his mother Ayelet Lindenstrauss is the sister of Fields Medalist Elon Lindenstrauss; father hosted a math circle for neighborhood children that Larsen attended from age four.

Archetype & tags
Family-domain apprenticeshipparents mathematiciansmath circle from age 4academic householdIndiana Universityself-studyYitang Zhang inspiration
Evidence summary

Larsen's both parents are mathematics professors at Indiana University, providing an exceptionally strong family-domain advantage. His father hosted a math circle that Larsen attended from age four, and his mother is the sister of Fields Medalist Elon Lindenstrauss. He grew up immersed in an academic mathematical household, which gave him direct domain exposure and early mentorship. After watching a documentary about Yitang Zhang, he spent roughly 300 hours proving a result about Carmichael numbers that had eluded mathematicians since 1994, while still in high school.

advantage confidence: High · source count: 3 · audit: not_independently_audited · status: subagent_researched_beta

Sources
Related — same primary engine