Immigrants from India are the second-largest foreign-born group in the United States, after Mexicans. Indian Americans comprise of about 3.4Mn in the US according to 2016 American Community Survey data.

But, to answer the question, who was the first indian to settle in the US?

Well, In:

1635: An “East Indian” was documented in Jamestown, Virginia.

1790: The first confirmed presence of an Indian in the United States. The Indian who came from Madras on a British ship traveled to the United States to promote trade links.

1899–1914: First significant wave of Indian immigrants, mostly Sikh farmers and laborers from Punjab region of British India, start arriving in California (Angel Island) on ships via Hong Kong. They found employment on farms and in lumber mills in California, Oregon, and Washington states.

1912: The first Sikh temple opens its doors in Stockton, California.

1914: Dhan Gopal Mukerji obtains a graduate degree from Stanford University, studying also at University of California, Berkeley and later goes on to win the Newbery Medal in 1928, and thus becomes the first successful India-born man of letters in the United States, as well as the first popular Indian writer in English.

1918: Private Raghunath N. Banawalkar is the first Indian-American recruited/drafted by the US Army on February 25, 1918 and serves in the Sanitary Detachment of the 305th Infantry Regiment, 77th Division, American Expeditionary Forces in France.

1918: Earliest record of LGBTQ Indian-Americans, Jamil Singh in Sacramento, California.

1922: Yellapragada Subbarao, an Andhraite from Andhra Pradesh in Southern India arrived in Boston on October 26, 1922. He discovered the role of phosphocreatine and adenosine triphosphate (ATP) in muscular activity, which earned him an entry into biochemistry textbooks in the 1930s. He obtained his Ph.D. degree the same year, and went on to make other major discoveries, including the synthesis of aminopterin (later developed into methotrexate), the first cancer chemotherapy.

1943: Republican Clare Boothe Luce and Democrat Emanuel Celler introduce a bill to open naturalization to Indian immigrants to the US. Prominent Americans Pearl Buck, Louis Fischer, Albert Einstein and Robert Millikan give their endorsement to the bill. President Franklin Roosevelt also endorses the bill.

1946: President Harry Truman signs into law the Luce-Celler Act of 1946, giving Indian Americans the right to immigrate and naturalize.

Thereafter a significant number of Indians immigrated to the US including a some well known and accomplished ones.

Source: Wikipedia