What you have to prove
Show either (A) significantly subaverage general intellectual functioning (IQ-equivalent) AND significant deficits in adaptive functioning manifesting before age 22; OR (B) a full-scale IQ score of 70 or below on an individually administered standardized test AND significant deficits in adaptive functioning before age 22.
Medical evidence SSA expects
WAIS-IV or similar IQ testing, school records showing early onset, adaptive behavior scales (Vineland), and developmental history.
Common misconceptions
IQ testing after age 22 can still support the listing if developmental history shows lifelong impairment. 'Borderline intellectual functioning' (IQ 71-84) doesn't qualify on this listing alone.